Levent Alpoge

Levent Alpoge (lalpoge@princeton, arXiv, CV)

In case of discrepancy with the published (or arXiv) versions of the papers below, use the published/arXiv versions.

Papers:

  1. Square-root cancellation for the signs of Latin squares. To appear in Combinatorica.

  2. The average number of integral points on elliptic curves is bounded. Submitted.

  3. van der Waerden and the primes. Amer. Math. Monthly 122 (2015), no. 8, 784-785.

  4. Proof of a conjecture of Stanley-Zanello. J. Combin. Theory Ser. A. 125 (2014), 166-176.

  5. Self-conjugate core partitions and modular forms. J. Number Theory 140 (2014), 60-92.

  6. (with Steven J. Miller) Low-lying zeroes of Maass form L-functions. Int. Math. Res. Not. (2015), no. 10, 2678-2701.

  7. (with Nadine Amersi, Geoffrey Iyer, Oleg Lazarev, Steven J. Miller, and Liyang Zhang) Maass waveforms and low-lying zeros. In: C. Pomerance, M. Rassias (eds.), Analytic Number Theory: in Honor of Helmut Maier's 60th Birthday, 19-56, Springer, 2015.

  8. (with Thomas Ang, Luke Schaeffer, and Jeffrey Shallit) Decidability and shortest strings in formal languages. Descriptional Complexity of Formal Systems, Lecture Notes in Comput. Sci. 6808 (2011), 55-67.

  9. (with Alark Joshi, Dustin Scheinost, John Onofrey, Xiaoning Qian, and Xenios Papademetris) A vtk-based, CUDA-optimized non-parametric vessel detection method. VTK Journal. (My Intel STS project from high school.)

  10. The average elliptic curve has few integral points. (My senior thesis at Harvard.)

  11. Analytic number theory and quadratic reciprocity. Harvard College Mathematics Review.
              (I once thought I'd discovered a new and "purely analytic" proof of quadratic reciprocity. In fact the argument was known to Dirichlet! So I turned it into a little expository article.)