Publications
Economics Research
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Strategy-Proofness, Investment Efficiency, and Marginal Returns: An Equivalence. European Economic Review [Nora Szech Memorial Issue], (forthcoming).
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Rationally Analyzing Shelby: Proving Incentive Compatibility in a Decentralized Storage Network. In Proceedings of the International Conference on Financial Cryptography and Data Security, Lecture Notes in Computer Science, Springer, (forthcoming).
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Incentive-Compatible Recovery from Manipulated Signals, with Applications to Decentralized Physical Infrastructure. In Proceedings of the International Conference on Financial Cryptography and Data Security, Lecture Notes in Computer Science, Springer, (forthcoming).
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Navigating the Token Migration Maze: A Tax Framework. Journal of Taxation of Financial Products 22(2), (2025), 13-24.
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To Infinity and Beyond: Scaling Economic Theories via Logical Compactness. Theoretical Economics 20(2), (2025), 511-542.
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NFTs as a Data-Rich Test Bed: Conspicuous Consumption and its Determinants. In Proceedings of the ACM Web Conference, ACM, (2025), 3451-3465.
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Respect for Improvements and Comparative Statics in Matching Markets. Journal of Mechanism and Institution Design 9(1), (2024), 83-104.
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Decision Authority and the Returns to Algorithms. Strategic Management Journal 45(4), (2024), 619-648.
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An Economic Framework for Vaccine Prioritization. Quarterly Journal of Economics 139(1), (2024), 359-417.
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Not from Concentrate: Collusion in Collaborative Industries. Iowa Law Review 108(3), (2023), 1089-1148.
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The Harvard USPTO Patent Dataset: A Large-Scale, Well-Structured, and Multi-Purpose Corpus of Patent Applications. In NeurIPS Datasets and Benchmarks Track, (2023).
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Distributing a Billion Vaccines: COVAX Successes, Challenges, and Opportunities. Oxford Review of Economic Policy 38(4), (2022), 941-974.
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Vaccines and the COVID-19 Pandemic: Lessons from Failure and Success. Oxford Review of Economic Policy 38(4), (2022), 719-741.
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Why NFT Creators Are Going cc0. a16z crypto, (August 3, 2022).
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Auctioneers Sometimes Prefer Entry Fees to Extra Bidders. International Journal of Industrial Organization 79, (2021), 102737.
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Do you Know How Your Teams Get Work Done?. Harvard Business Review [Online], (December 1, 2021).
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How NFTs Create Value. Harvard Business Review [Online], (November 10, 2021).
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Stability, Strategy-Proofness, and Cumulative Offer Mechanisms. Review of Economic Studies 88(3), (2021), 1457-1502.
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Preparing for a Pandemic: Accelerating Vaccine Availability. AEA Papers and Proceedings 111, (2021), 331-335.
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To Thine Own Self Be True? Incentive Problems in Personalized Law. William & Mary Law Review 62(3), (2021), 723-790.
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Comparative Statics for Size-Dependent Discounts in Matching Markets. Journal of Mathematical Economics 90, (2020), 127-131.
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Costly Concessions: An Empirical Framework for Matching with Imperfectly Transferable Utility. Journal of Political Economy 127(6), (2019), 2875-2925.
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Optimizing Reserves in School Choice: A Dynamic Programming Approach. Operations Research Letters 47(5), (2019), 438-446.
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Ridesharing with Driver Location Preferences. In Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence, (2019), 557-564.
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Allocation for Social Good: Auditing Mechanisms for Utility Maximization. In Proceedings of the 2019 ACM Conference on Economics and Computation, (2019), 785-803.
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Reserve Design: Unintended Consequences and The Demise of Boston's Walk Zones. Journal of Political Economy 126(6), (2018), 2457-2479.
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A Theory of Intergenerational Mobility. Journal of Political Economy [Gary S. Becker Memorial Issue] 126(S1), (2018), S7-S25.
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Strategy-Proofness of Worker-Optimal Matching with Continuously Transferable Utility. Games and Economic Behavior [Lloyd Shapley Memorial Issue] 108, (2018), 287-294.
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'Troll' Check? A Proposal for Administrative Review of Patent Litigation. Boston University Law Review 97(5), (2017), 1775-1841.
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Computer Vision Uncovers Predictors of Physical Urban Change. Proceedings of the National Academy of Sciences 114(29), (2017), 7571-7576.
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Patent Trolling Isn't Dead — It's Just Moving to Delaware. Harvard Business Review [Online], (June 28, 2017).
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Who Will Vote Quadratically? Voter Turnout and Votes Cast Under Quadratic Voting. Public Choice [Special Issue on Quadratic Voting and the Public Good] 172(1-2), (2017), 125-149.
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Stable and Strategy-Proof Matching with Flexible Allotments. American Economic Review Papers & Proceedings 107(5), (2017), 214-219.
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Contract Design and Stability in Many-to-Many Matching. Games and Economic Behavior [Special Issue in Honor of John O. Ledyard] 101, (2017), 78-97.
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Crowdsourcing City Government: Using Tournaments to Improve Inspection Accuracy. American Economic Review Papers & Proceedings 106(5), (2016), 114-118.
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To Groupon or Not to Groupon: The Profitability of Deep Discounts. Marketing Letters 27(1), (2016), 39-53.
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Design and Implementation of a Privacy Preserving Electronic Health Record Linkage Tool in Chicago. Journal of the American Medical Informatics Association 22(5), (2015), 1072-1080.
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Multilateral Matching. Journal of Economic Theory [Special Issue on the Interface between Computer Science and Economic Theory] 156, (2015), 175-206.
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Convergence of Position Auctions under Myopic Best-Response Dynamics. ACM Transactions on Economics and Computation 2(3), (2014), #9.
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Investment Incentives in Labor Market Matching. American Economic Review Papers & Proceedings 104(5), (2014), 436-441.
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Delayed-Response Strategies in Repeated Games with Observation Lags. Journal of Economic Theory 150, (2014), 487-514.
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Stability and Competitive Equilibrium in Trading Networks. Journal of Political Economy 121(5), (2013), 966-1005.
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On Derivatives Markets and Social Welfare: A Theory of Empty Voting and Hidden Ownership. Virginia Law Review 99(6), (2013), 1103-1168.
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Holdout in the Assembly of Complements: A Problem for Market Design. American Economic Review Papers & Proceedings 102(3), (2012), 360-365.
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On the Correspondence of Contracts to Salaries in (Many-to-Many) Matching. Games and Economic Behavior 75(2), (2012), 984-989.
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Discrete Choice Cannot Generate Demand that is Additively Separable in Own Price. Economics Letters 116(1), (2012), 129-132.
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Matching in Networks with Bilateral Contracts. American Economic Journal: Microeconomics 4(1), (2012), 176-208.
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Course Allocation by Proxy Auction. In Proceedings of the 6th Workshop on Internet & Network Economics, (2010), 551-558.
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Information Can Wreck Cooperation: A Counterpoint to Kandori (1992). Economics Letters 107(2), (2010), 112-114.
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Matching with Preferences over Colleagues Solves Classical Matching. Games and Economic Behavior 68(2), (2010), 773-780.
Mathematics Research
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Uniform Bounds for Digit-Appending Fibonacci Walks. The Fibonacci Quarterly, (forthcoming).
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Simultaneous Niven Numbers in Arithmetic Progressions for Power-Related Bases. Bulletin of the Australian Mathematical Society, (forthcoming).
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A Universal In-Place Reconfiguration Algorithm for Sliding Cube-Shaped Robots in Quadratic Time. In Proceedings of the International Symposium on Computational Geometry (SoCG), (2024), 1:1-1:14.
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Configurations of Extremal Type II Codes via Harmonic Weight Enumerators. Journal de Theorie des Nombres de Bordeaux 31(3), (2019), 679-688.
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Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions. Canadian Mathematical Bulletin 57(3), (2014), 551-561.
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Minimal S-Universality Criteria May Vary in Size. Journal de Theorie des Nombres de Bordeaux 23(3), (2013), 557-563.
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Weighted Generating Functions for Type II Lattices and Codes. In Quadratic and Higher Degree Forms (ed. Krishnaswami Alladi, Manjul Bhargava, David Savitt, and Pham Huu Tiep), Developments in Mathematics 31, Springer, (2013), 63-108.
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Every Large Point Set contains Many Collinear Points or an Empty Pentagon. Graphs and Combinatorics 27(1), (2011), 47-60.
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A Categorical Construction of Ultrafilters. Rocky Mountain Journal of Mathematics 40(5), (2010), 1611-1617.
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A Constant Bound for the Periods of Parallel Chip-firing Games with Many Chips. Archiv der Mathematik 95(1), (2010), 9-13.
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On Congruence Conditions for Primality. INTEGERS: The Electronic Journal of Combinatorial Number Theory 10(3), (2010), 313-317.
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On the Classification of Type II Codes of Length 24. SIAM Journal on Discrete Mathematics 23(4), (2010), 2173-2177.
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Further Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions. Proceedings of the American Mathematical Society 138(3), (2010), 809-813.
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Shape Replication Through Self-Assembly and RNase Enzymes. In Proceedings of the 2010 ACM-SIAM Symposium on Discrete Algorithms, (2010), 1045-1064.
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Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80. Proceedings of the American Mathematical Society 138(1), (2010), 105-108.
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Configurations of Extremal Even Unimodular Lattices. International Journal of Number Theory 5(3), (2009), 457-464.
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On Universal Binary Hermitian Forms. INTEGERS: The Electronic Journal of Combinatorial Number Theory 9, (2009), #A2.
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Configurations of Rank-40r Extremal Even Unimodular Lattices (r=1,2,3). Journal de Theorie des Nombres de Bordeaux 20(2), (2008), 365-371.
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Musicology Research
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Leonard Bernstein's Doodles: Reading Outside the Lines at the Library of Congress. Journal of the Society for American Music 3(1), (2009), 26-33.
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Leonard Bernstein doodled regularly. In Bernstein and Boston: A Documentary Scrapbook, (2006).
Medicine Research
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Patterns of failure after involved field radiation therapy for pediatric and young adult Hodgkin lymphoma. Pediatric Blood & Cancer 61(7), (2014), 1210-1214.
Books
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The Everything Token: How NFTs and Web3 Will Transform the Way We Buy, Sell, and Create. Portfolio/Penguin (2024).
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Success with Science: The Winners' Guide to High School Research. Research Corporation for Science Advancement (2011).
Expository Articles, Reviews, and Surveys
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The Theory of Matching with Contracts. In Handbook of the Economics of Matching (ed. Yeon-Koo Che, Pierre-André Chiappori, and Bernard Salanié), Elsevier, (2025), 409-487.
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Jerry R. Green (1946-). In The Palgrave Companion to Harvard Economics, Palgrave Macmillan, (2024), 859-900.
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Discovering Auctions: Contributions of Paul Milgrom and Robert Wilson. Scandinavian Journal of Economics 123(4), (2021), 709-750.
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Review of Music and Capitalism: A History of the Present by Timothy D. Taylor. Ethnomusicology 65(2), (2021), 396-398.
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The Parable of the Auctioneer: Complexity in Paul R. Milgrom's Discovering Prices. Journal of Economic Literature 58(4), (2020), 1180-1196.
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Big Data and Big Cities: The Promises and Limitations of Improved Measures of Urban Life. Economic Inquiry 56(1), (2018), 114-137.
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Empirical Evidence on the Behavior and Impact of Patent Trolls: A Survey. Patent Assertion Entities and Competition Policy, (2017), 27-49.
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A Theory of Empty Voting and Hidden Ownership. Harvard Law School Forum on Corporate Governance and Financial Regulation, (November 2, 2012).
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Stability and Competitive Equilibrium in Matching Markets with Transfers. ACM SIGecom Exchanges 10(3), (2011), 29-34.
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Sharing the fun of research. Harvard University Gazette, (October 27, 2011).
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Facilitating Efficient Land Assembly. IQSS Headlines, (October 28, 2009).
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Finding Matrices that Satisfy Functional Equations. College Mathematics Journal 40(4), (2009), 289-292.
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Mathematical Minutiae: i Has This Funny Property. The Harvard College Mathematics Review 2(1), (2008), 75-77.
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The Harvard College Mathematics Review: A New Undergraduate Expository Journal. Math Horizons 15(4), (2008), 30-31.
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The Harvard College Mathematics Review. FOCUS 27(8), (2007), 14.
Business and Opinion Writing
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The Super Bowl of Prediction Markets. Project Syndicate, (February 5, 2026).
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Crypto Needs a Clear Set of Rules to Thrive: Markets Insight. Financial Times, (August 28, 2025), 14.
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Loyalty Programs May Limit Competition, and They Could Be Pushing Prices up for Everyone. The Conversation, (April 8, 2024).
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It's Time to Give Up on Ending Social Media's Misinformation Problem. The Atlantic, (March 22, 2024).
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The Rise of Consumer Crypto. Project Syndicate, (February 9, 2024).
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Threads Foreshadows a Big—and Surprising—Shift in Social Media. Harvard Business Review [Online], (July 13, 2023).
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How NFTs Will Make a Comeback in 2024. Consensus Magazine, (December 22, 2023).
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We Need an Operation Warp Speed for Long COVID. Scientific American, (April 5, 2023).
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The Failure of Covid.gov Is Worse Than Inexcusable. Bloomberg Opinion, (April 6, 2022).
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How a Ukrainian Economist Is Fighting the Russians. Bloomberg Opinion, (March 15, 2022).
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Why Facebook and Twitter Opened the Door to NFTs. Bloomberg Opinion, (January 25, 2022).
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Most NFTs Are More Like Baseball Cards Than Fine Art. Bloomberg Opinion, (January 20, 2022).
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Why Decentralized Crypto Platforms Are Weathering the Crash. Harvard Business Review [Online], (December 7, 2022).
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Why Build in Web3. Harvard Business Review [Online], (May 16, 2022).
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It's Time to Redouble and Refocus Our Efforts to Fight COVID, Not Retreat. BMJ: British Medical Journal 379, (2022), o2423.
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Why One Little Goof Drove Wordle Fans Nuts. Bloomberg Opinion, (May 11, 2022).
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2021 Was a Mess, Unless You Count the Palindrome Days. Bloomberg Opinion, (December 31, 2021).
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Just Tell Everybody to Go Get a Covid Booster. Bloomberg Opinion, (November 16, 2021).
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Nobel Winners Found Economic Experiments in the Real World. Bloomberg Opinion, (October 11, 2021).
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World Can Have Covid Boosters and Its First Doses, Too. Bloomberg Opinion, (September 28, 2021).
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A Labor Movement for the Platform Economy. Harvard Business Review [Online], (September 24, 2021).
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The Endless Digital Workday. Harvard Business Review [Online], (August 12, 2021).
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Biden Is Rushing America's Return to Normalcy. Bloomberg Opinion, (June 23, 2021).
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What Makes an Online Marketplace Disruptive?. Harvard Business Review [Online], (May 24, 2021).
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How the Pandemic Revealed the Power of Live Video. Bloomberg Opinion, (April 17, 2021).
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Where America's Vaccine Triumph Fell Short. Bloomberg Opinion, (April 10, 2021).
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America's Pharmacies Can Do a Lot More Vaccinations. Bloomberg Opinion, (February 17, 2021).
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With Decentralized Identity, Your Reputation Travels with You Across Cyberspace. Future, (November 18, 2021).
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What Really Happens in an NFT Bear Market?. dGen Network, (October 24, 2021).
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It's Time to Knock Down the Walled Gardens of the Payments System. american-banker, (October 26, 2021).
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Why Today Is Math Geeks' Favorite Friday the 13th in a Century. Every, (August 13, 2021).
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Bitcoin and Beyond. Project Syndicate, (April 23, 2021).
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A Novel Framework for Reputation-Based Systems. Future, (September 30, 2021).
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The Puzzle of OpenSea Private Sale Fees. dGen Network, (September 20, 2021).
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2020 Had a Silver Lining for Math Geeks. Bloomberg Opinion, (December 31, 2020).
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How Long Can a Company Thrive Doing Just One Thing?. Harvard Business Review [Online], (December 10, 2020).
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Airbnb Slips a Grand Experiment Into Its IPO. Bloomberg Opinion, (December 4, 2020).
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The Case for a Covid Vaccine Lottery. Bloomberg Opinion, (November 9, 2020).
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Making Auctions Work in Practice Is Worth a Nobel. Bloomberg Opinion, (October 12, 2020).
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CDC's Virus Messaging Is Too Complicated to Trust. Bloomberg Opinion, (October 1, 2020).
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Vaccines Use Bizarre Stuff. We Need a Supply Chain Now.. Bloomberg Opinion, (August 18, 2020).
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Music's Last Best Hope Lies in Live-Streaming.. Bloomberg Opinion, (August 3, 2020).
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Delivery Apps Need to Start Treating Suppliers as Partners. Harvard Business Review [Online], (July 3, 2020).
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Empty U.S. Roads Should Be Safer. They're Not.. Bloomberg Opinion, (June 3, 2020).
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How to End the Plasma Shortage for Coronavirus Patients. Bloomberg Opinion, (May 11, 2020).
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Believe In Vaccine Bets Like Bill Gates's. Bloomberg Opinion, (April 28, 2020).
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Easier Voting Probably Doesn't Make Much Difference. Bloomberg Opinion, (April 21, 2020).
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Markets Can Improve Rationing of Medical Supplies. Bloomberg Opinion, (April 10, 2020).
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Pandemic Shutdowns Work for the Economy, Too. Bloomberg Opinion, (March 27, 2020).
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Patent Protection Should Take a Backseat in a Crisis. Bloomberg Opinion, (March 26, 2020).
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Free Food Delivery for the Elderly Would Be Smart. Bloomberg Opinion, (March 24, 2020).
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Keep Sanitizer Out of the Market's Invisible Hand. Bloomberg Opinion, (March 16, 2020).
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Under Armour Dumped Its App, and Consumers Feel the Heartbreak. Bloomberg Opinion, (February 5, 2020).
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Food-Stamp Work Requirements Just Look Cruel. Bloomberg Opinion, (January 27, 2020).
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Fake AI People Won't Fix Online Dating. Bloomberg Opinion, (January 16, 2020).
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Math Geeks Were In Their Glory in the 2010s. Bloomberg Opinion, (December 31, 2019).
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Twitter Begs Users to Target Themselves for Ads. Bloomberg Opinion, (December 30, 2019).
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Trump Plays the Game of Gaming the Presidential Debates. Bloomberg Opinion, (December 17, 2019).
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United's Frequent-Flier Program Gets Some Game Theory. Bloomberg Opinion, (December 13, 2019).
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The Best Thing about Libra is Often Overlooked—and its Creators Explain Why. Quartz, (October 18, 2019).
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Starbucks Stores That Only Accept Mobile Orders Sure Beat the Line. Bloomberg Opinion, (October 13, 2019).
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When Government Spending Is a Moneymaker. Bloomberg Opinion, (August 6, 2019).
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Amazon Needs to Tame Its Wild West Marketplace. Bloomberg Opinion, (July 26, 2019).
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People Make It So Hard to Ditch Plastic Straws. Bloomberg Opinion, (July 15, 2019).
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What to Read After Finishing the Mueller Report. Bloomberg Opinion, (June 25, 2019).
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Uber Must Go Slow When Drivers Rate Riders. Bloomberg Opinion, (June 13, 2019).
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Twitter Is Showing More Ads Instead of Better Ideas. Bloomberg Opinion, (May 30, 2019).
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You Might Be a Robot. This Is Not a Joke. Bloomberg Opinion, (March 14, 2019).
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Tesla's Online Selling Is a Big Bet on Millennials. Bloomberg Opinion, (March 6, 2019).
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Busting the Refugee-Crime Connection. Bloomberg Opinion, (January 7, 2019).
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This Was a Great Year to Be a Math Geek. Bloomberg Opinion, (December 28, 2018).
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Money Buys Political Friends in Unexpected Places. Bloomberg Opinion, (December 14, 2018).
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How Apple Gamed App Pricing. Bloomberg Opinion, (December 11, 2018).
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5 Books for Connoisseurs of Con Jobs. Bloomberg Opinion, (November 29, 2018).
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Robots Can Save Us From Phone Scammers. Bloomberg Opinion, (October 15, 2018).
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Amazon's $15 Minimum Wage Might Cost Some Workers. Bloomberg Opinion, (October 10, 2018).
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Corporations of the World! Young Scientists Need You. Bloomberg Opinion, (September 25, 2018).
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Leonard Bernstein and the Promise of America. Bloomberg Opinion, (August 24, 2018).
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Why Work Requirements Hurt the Poor. Bloomberg Opinion, (August 20, 2018).
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Six Books Worth Reading This Summer. Bloomberg Opinion, (June 21, 2018).
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Math Geeks Must Wait 100 Years for a Day Like This. Bloomberg Opinion, (June 1, 2018).
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Teen Rocket Scientists Offer a Peek Into the Future. Bloomberg Opinion, (May 23, 2018).
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Facebook Is Right to Think 'Likes' Can Lead to Love. Bloomberg Opinion, (May 11, 2018).
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Facebook Knows It Can't Offer More Privacy. Bloomberg Opinion, (April 26, 2018).
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Teen Science Whizzes Cheer Up Our Grownup One. Bloomberg Opinion, (March 15, 2018).
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L.L. Bean Will Regret Ending Lifetime Product Guarantee. Bloomberg Opinion, (February 20, 2018).
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Goodbye to 2017, a Prime, Sexy, Odious Year. Bloomberg Opinion, (December 29, 2017).
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Must-Reads for 2017: Grappling With Backlash. Bloomberg Opinion, (December 12, 2017).
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This Leader Turns Theories Into Accomplishments. Bloomberg Opinion, (December 7, 2017).
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Uber Really Wants You to Use Its Credit Card. Bloomberg Opinion, (December 6, 2017).
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Velcro Is Too Sticky for Its Own Good. Bloomberg Opinion, (October 17, 2017).
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Fans Watch Taylor Swift. Economists Watch the Fans. Bloomberg Opinion, (August 29, 2017).
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To Improve Wireless Networks, Auction the Airwaves. Bloomberg Opinion, (July 24, 2017).
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One Thing You Don't Need Is Stronger Patents. Bloomberg Opinion, (July 6, 2017).
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Uber's New Pricing Idea Is Good Theory, Risky Business. Bloomberg Opinion, (June 13, 2017).
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'Star Wars' Soldier Recruited to Fight Patent Trolls. Bloomberg Opinion, (May 31, 2017).
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When Finance Is a Character in a Novel. Bloomberg Opinion, (May 24, 2017).
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Kenneth Arrow Made Great Models, and Was One. Bloomberg Opinion, (February 23, 2017).
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Intel Dropped Its High School Science Fair. Bad Idea. Bloomberg Opinion, (February 22, 2017).
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Why Obama Just Wrote Articles in 3 Academic Journals. Bloomberg Opinion, (January 22, 2017).
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Prediction Markets Didn't Call Trump's Win, Either. Bloomberg Opinion, (November 15, 2016).
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Apple Has Designs on Stifling Innovation. Bloomberg Opinion, (October 24, 2016).
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Low Voter Turnout Isn't Necessarily Bad. Bloomberg Opinion, (October 11, 2016).
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For Better Online Product Reviews, Pay the Reviewers. Bloomberg Opinion, (September 21, 2016).
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Matchmaking to Find Homes for Refugees. Bloomberg Opinion, (September 19, 2016).
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Congress must look forward in reining in patent trolls. Massachusetts Lawyers Weekly, (June 1, 2015).
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How U.S. laws protecting America's best ideas are killing innovation. Fortune, (January 22, 2015).
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The High School Senior's Dilemma: Where Should I Go to College?. Forbes, (April 22, 2014).
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Lessons from the GoDaddy Customer Revolt. Harvard Business Review [Blog], (December 29, 2011).
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Digital Pioneers on Paper. Harvard Business Review [Blog], (July 11, 2011).
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To Groupon or Not To Groupon: New Research on Voucher Profitability. Harvard Business Review [Blog], (January 12, 2011).
Comments
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Enhancing Patent Quality: Screening out Low-Quality Patents and Trolling Litigation. Public comment, (2015).
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A correspondence note on Myerson's 'Irrationality via Well-ordering'. Gazette of the Australian Mathematical Society 36(1), (2009), 53.
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Response to May 2007 article by Frank Giarratani, Gene Gruver, & Randall Jackson on Industry Agglomeration. Economic Development Quarterly 22(3), (2008), 264-266.
Teaching Materials
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Twitter Blues: Does Paid Verification Check Out?. Harvard Business School Case Study, (2023), {523-106}.
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Bored Ape Yacht Club: Navigating the NFT World (A). Harvard Business School Teaching Note, (2023), {523-083}.
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LooksRare: The Decentralized, Tokenized, NFT Marketplace. Harvard Business School Teaching Note, (2022), {823-046}.
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SuperRare: Turning an NFT Marketplace into a DAO. Harvard Business School Case Study, (2022), {823-027}.
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LooksRare: The Decentralized, Tokenized, NFT Marketplace. Harvard Business School Case Study, (2022), {822-119}.
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Bored Ape Yacht Club: Navigating the NFT World. Harvard Business School Case Study, (2022), {822-065}.
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Zoom Video Communications: Building a Culture of Diversity, Equity, & Inclusion During COVID-19. Harvard Business School Case Study, (2021), {322-031}.
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A Three-Part Framework for Entrepreneurial Marketplace Design. Harvard Business School Note, (2021), {821-065}.
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Zoom Video Communications: Eric Yuan's Leadership During COVID-19. Harvard Business School Teaching Note, (2021), {821-018}.
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Zoom Video Communications: Eric Yuan's Leadership During COVID-19. Harvard Business School Case Study, (2020), {821-014}.
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Updating Dating. Harvard Business School Teaching Note, (2020), {821-025}.
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Raksul. Harvard Business School Teaching Note, (2020), {821-026}.
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Opportunity Insights: Research and Policy for Social Mobility. Harvard Business School Case Study, (2020), {820-714}.
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Quantopian: A New Model for Active Management (B). Harvard Business School Case Study, (2019), {219-115}.
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Maccabitech: The Promise of Israel's Healthcare Data. Harvard Business School Case Study, (2019), {819-032}.
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GoFundMe: The Giving Layer of the Internet. Harvard Business School Teaching Note, (2019), {819-090}.
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When Trolls Attack: Carbonite vs. Oasis Research. Harvard Business School Case Study, (2019), {219-001}.
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Feeding America (A) and (B). Harvard Business School Teaching Note, (2018), {819-092}.
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Archived Research Lectures
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Leonard Bernstein's Doodles: Grasping Genius Through Graphology. In the Beginning: Becoming Bernstein: Students from a Harvard University Research Project Exploring Bernstein's Boston Ties, (2006).
Workshop Papers
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Fractal Flipbooks. In Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture, (2016), 615-620.
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Flipbook Polyhedra. In Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture, (2013), 619-624.
Problem Proposals and Solutions
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Alfred R. Schmidt Freshman Mathematics Competition. 22, (2010).
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Problem 10. American Invitational Math Exam (AIME), (2010).
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Problem 7. American Invitational Math Exam (AIME), (2009).
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Alfred R. Schmidt Freshman Mathematics Competition. 20, (2008).
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Alfred R. Schmidt Freshman Mathematics Competition. 19, (2007).
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Problem 3/2/18. USA Mathematical Talent Search (USAMTS), (2006).
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Alfred R. Schmidt Freshman Mathematics Competition. 17, (2005).
Letters
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Harvard Students Should Ignore Calls to Boycott Israel Trek. The Harvard Crimson, (March 14, 2025).
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Introduction to the Special Issue on EC'17. ACM Transactions on Economics and Computation 8(1), (2020), #1.
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Why I Volunteer at the Intel International Science and Engineering Fair. Science News, (February 28, 2018).
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Collective decisions on land. The Economist, (May 30, 2015).
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Professional-School Training Is Invaluable, Even for Scholars. The Chronicle of Higher Education, (February 14, 2012).
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Don't Violate the Violated. The Harvard Crimson, (March 10, 2009).
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Haiku
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Haiku #1031. A Hundred Gourds 3(3), (2014), haiku12.
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Haiku #{7, 101}. Bear Creek Haiku 101, (2011), {3, 34}.
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Haiku #-5. Frostwriting 6, (2011).
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Haiku #{131, 99, 71, 203}. Puffin Circus 2, (2011), 15.
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Summer Haiku #86. Modern Haiku 41(3), (2010), 83.
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Summer Haiku #75. tinywords 10(2), (2010).
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Haiku #11. Modern Haiku 40(3), (2009), 46.
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Haiku #3. Modern Haiku 40(1), (2009), 43.
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Haiku #13. Harvard College Tuesday Magazine 6(1), (2008), 31.
Fiction, Short Prose, and Non-Haiku Poetry
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Game of chance. The Warble 3, (2009).
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Project. Harvard College Tuesday Magazine 3(2), (2005).
Puzzles
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Letters Community Puzzle. (January 1, 2022).
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Kominers's Conundrums: The Grinch Isn't Sure What to Steal. Bloomberg Opinion, (December 19, 2021).
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Kominers's Conundrums: Take a Crypto Break With Ancient Traders. Bloomberg Opinion, (May 16, 2021).
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Kominers's Conundrums: 'The Phantom Tollbooth' in Seven Puzzles. Bloomberg Opinion, (March 28, 2021).
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Kominers's Conundrums: Houston, We Have a Cube-Shaped Problem. Bloomberg Opinion, (December 12, 2021).
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Kominers's Conundrums: Meet Me in the Metaverse — If You Can. Bloomberg Opinion, (November 28, 2021).
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Kominers's Conundrums: Looping Letters in a Narrative Arc. Bloomberg Opinion, (November 7, 2021).
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Kominers's Conundrums: Can You Escape the Conjurer's Curse?. Bloomberg Opinion, (October 31, 2021).
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Kominers's Conundrums: True or False? That's Just the Start. Bloomberg Opinion, (October 24, 2021).
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Kominers's Conundrums: All Hail the Newest 'Jeopardy' Star. Bloomberg Opinion, (October 17, 2021).
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Kominers's Conundrums: Weight Weight— Don't Tell Me!. Bloomberg Opinion, (September 26, 2021).
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Kominers's Conundrums: Jigsaw Puzzles From Famous Quotes. Bloomberg Opinion, (September 19, 2021).
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Kominers's Conundrums: Pick a Number, Any Number at All. Bloomberg Opinion, (September 12, 2021).
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Kominers's Conundrums: Free a Phoenix So It May Rise Again. Bloomberg Opinion, (August 15, 2021).
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Kominers's Conundrums: How Much Is That Avatar in the Window?. Bloomberg Opinion, (August 8, 2021).
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Kominers's Conundrums: An Invention Puzzle — and That's Not All!. Bloomberg Opinion, (August 1, 2021).
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Kominers's Conundrums: The Olympics of Brainteasers Is Here. Bloomberg Opinion, (July 25, 2021).
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Kominers's Conundrums: Fast Forwarding Your Favorite Games. Bloomberg Opinion, (July 18, 2021).
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Kominers's Conundrums: A Top Secret Search for Galactic Gourds. Bloomberg Opinion, (June 27, 2021).
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Kominers' Conundrums: Celebrating Dads and Their Sense of Humor. Bloomberg Opinion, (June 20, 2021).
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Kominers' Conundrums: Something New From Overlapping Clues. Bloomberg Opinion, (June 13, 2021).
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Kominers's Conundrums: Lost Lyrics to Kick Off the Summer. Bloomberg Opinion, (June 6, 2021).
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A 'Hungry Caterpillar' Puzzle You Can Solve With Your Kids. Bloomberg Opinion, (May 30, 2021).
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Kominers's Conundrums: A Word Chemistry Lab Needs Organizing. Bloomberg Opinion, (May 23, 2021).
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Kominers's Conundrums: A Puzzle in Honor of Mothers Everywhere. Bloomberg Opinion, (May 9, 2021).
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Kominers's Conundrums: The Empire Strikes Back on a Holiday. Bloomberg Opinion, (May 2, 2021).
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Kominers's Conundrums: Oscar Sequels From Another Dimension. Bloomberg Opinion, (April 25, 2021).
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Kominers's Conundrums: Choose Your Pyramid Words Wisely. Bloomberg Opinion, (April 18, 2021).
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Kominers's Conundrums: Can You Escape This Column?. Bloomberg Opinion, (April 11, 2021).
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Kominers's Conundrums: Procuring Perfect Pies for Pi Day. Bloomberg Opinion, (March 14, 2021).
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Kominers's Conundrums: The Most Cryptic Piece of Art in Years. Bloomberg Opinion, (February 28, 2021).
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Kominers's Conundrums: Major Martian to Ground Control. Bloomberg Opinion, (February 21, 2021).
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Kominers's Conundrums: Something to Play on Valentine's Day. Bloomberg Opinion, (February 14, 2021).
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Kominers's Conundrums: Groundhogging the Dark Side of Things. Bloomberg Opinion, (February 7, 2021).
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Kominers's Conundrums: A Game That You Can't Stop. Bloomberg Opinion, (January 31, 2021).
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Kominers's Conundrums: A Fashion Hunt, Impeccably Messed. Bloomberg Opinion, (January 24, 2021).
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Kominers's Conundrums: The Great TV Compromise of 2021. Bloomberg Opinion, (January 10, 2021).
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Kominers's Conundrums: A '2,021 Game' to Kick Off 2021. Bloomberg Opinion, (January 3, 2021).
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Kominers's Conundrums: Overstuffed Bears Seeking Stability. Bloomberg Opinion, (October 3, 2021).
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Kominers's Conundrums: A Heist Leads to a Virtual Adventure. Bloomberg Opinion, (August 29, 2021).
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Kominers's Conundrums: A Puzzling Hunt for Missing Monoliths. Bloomberg Opinion, (December 6, 2020).
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Kominers's Conundrums: A 'Home Alone' Caper With 2020 Traps. Bloomberg Opinion, (December 27, 2020).
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Kominers's Conundrums: Stuck in a Shambles of Sweets. Bloomberg Opinion, (November 29, 2020).
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Kominers's Conundrums: Country Music Can Save the World. Bloomberg Opinion, (November 22, 2020).
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Kominers's Conundrums: This Puzzle Honors a Game-Show Legend. Bloomberg Opinion, (November 15, 2020).
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Kominers's Conundrums: It's the Final Countdown. Bloomberg Opinion, (November 8, 2020).
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Kominers's Conundrums: Saving Private Island Adventurers. Bloomberg Opinion, (November 1, 2020).
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Kominers's Conundrums: An Emoji Hunt in Search of a Song. Bloomberg Opinion, (October 25, 2020).
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Kominers's Conundrums: A Meme Collision for the Ages. Bloomberg Opinion, (October 18, 2020).
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Kominers's Conundrums: A Fly Walks Into a Debate. Bloomberg Opinion, (October 11, 2020).
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Kominers's Conundrums: When Cartoon Pals Join Social Media. Bloomberg Opinion, (October 4, 2020).
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Kominers's Conundrums: Secrets of a Magical Number. Bloomberg Opinion, (September 24, 2020).
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Kominers's Conundrums: A Nobel by Any Other Name. Bloomberg Opinion, (September 20, 2020).
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Kominers's Conundrums: A Virtual Lecture Hall With Hidden Ties. Bloomberg Opinion, (September 12, 2020).
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Kominers's Conundrums: A Puzzle That Spins Until It Sparks. Bloomberg Opinion, (September 5, 2020).
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Kominers's Conundrums: Resequencing a Puzzling Summer. Bloomberg Opinion, (August 22, 2020).
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Kominers's Conundrums: Never Trust a Genius With a Laser. Bloomberg Opinion, (August 15, 2020).
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Kominers's Conundrums: Maps Can Be Quite Mysterious. Bloomberg Opinion, (August 8, 2020).
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Kominers's Conundrums: 14 Faces, One Main Event. Bloomberg Opinion, (August 1, 2020).
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Kominers's Conundrums: Sizing Up a Stuntman's Traffic Mess. Bloomberg Opinion, (July 25, 2020).
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Kominers's Conundrums: A Pyramid Scheme to Ponder. Bloomberg Opinion, (July 18, 2020).
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Kominers's Conundrums: The Playlist Is the Puzzle. Bloomberg Opinion, (July 11, 2020).
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Kominers's Conundrums: What Comes Next in the Sequence?. Bloomberg Opinion, (June 27, 2020).
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Kominers's Conundrums: Keeping Up With Chameleons. Bloomberg Opinion, (June 20, 2020).
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Kominers's Conundrums: Back to a Puzzling Future. Bloomberg Opinion, (June 13, 2020).
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Kominers's Conundrums: Splitting a Record Chocolate Bar. Bloomberg Opinion, (June 6, 2020).
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Kominers's Conundrums: To Save a Dinner Party. Bloomberg Opinion, (May 30, 2020).
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Kominers's Conundrums: To Catch a Counterfeiter. Bloomberg Opinion, (May 23, 2020).
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Kominers's Conundrums: Crack Caesar's Favorite Code. Bloomberg Opinion, (May 16, 2020).
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Kominers's Conundrums: Poker With Zero Privacy. Bloomberg Opinion, (May 9, 2020).
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Kominers's Conundrums: There's a Puzzle Hiding Inside This Column. Bloomberg Opinion, (May 2, 2020).
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Kominers's Conundrums: The Warden Has a Brainteaser. Bloomberg Opinion, (April 25, 2020).
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Kominers's Conundrums: The Best Puzzles Are Made Out of Words. Bloomberg Opinion, (April 18, 2020).
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Kominers's Conundrums: The Corner-Cutting Chessboard. Bloomberg Opinion, (April 11, 2020).
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Kominers's Conundrums: The Light-Switch Challenge. Bloomberg Opinion, (April 4, 2020).
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Flat R-21. The Enigma 1338, (2016), 4.
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Striptease. MIT Mystery Hunt, (2015).
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Form F-5. The Enigma 1322, (2014), 18.
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Flat R-10. The Enigma 1302, (2013), 2.
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Flat {9, 19}. The Enigma 1280, (2011), {6, 8}.
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Extra {X-1, X-2}. The Enigma 1278, (2011), 14.
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Cryptogram {R-29, R-30}: {Something to Ponder, Keep Pondering}. The Enigma 1278, (2011), 5.
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Flat 31. The Enigma 1273, (2010), 13.
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Cryptogram 2: We'd get them eventually. The Enigma 1271, (2010), 24.
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Flat 11. The Enigma 1268, (2010), 12.
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Flat R-3. The Enigma 1268, (2010), 1.
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Flat 21. The Enigma 1267, (2010), 13.
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Flat 8. The Enigma 1266, (2010), 6.
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Flat 36. The Enigma 1265, (2010), 14.
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Flat 32. The Enigma 1261, (2009), 15.
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Flat 22. The Enigma 1260, (2009), 15.
Miscellaneous
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Money-Burning and Forward Induction on the Desert Planet Arrakis. Journal of Political Economy 127(6), (2019), back cover.
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Hedging in Times of Regime Change: Roman Edition. Journal of Political Economy 127(4), (2019), back cover.
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