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I used to be a Mathematics Researcher, but am working in industry now. This page mainly serves to keep my papers, code and talks accessible. Occasionally, I am adding new material as well.


jan_tuitman@hotmail.com


→ Publications:

  1. Correlation Matrices with Average Constraints, (with Steven Vanduffel and Jing Yao), to appear in Statistics and Probability Letters (2020) SSRN journal.
  2. Explicit Coleman integration for curves, (with Jennifer Balakrishnan), to appear in Mathematics of Computation (2020) arxiv journal.
  3. Explicit Chabauty-Kim for the Split Cartan Modular Curve of Level 13, (with Jennifer Balakrishnan, Netan Dogra, Steffen Mueller and Jan Vonk), Annals of Mathematics 189 (2019), no. 3, 885--944, arxiv journal.
  4. Computing zeta functions of generic projective hypersurfaces in larger characteristic, Mathematics of Computation 88 (2019), 439--451 arxiv journal.
  5. Point counting on curves using a gonality preserving lift (with Wouter Castryck), The Quarterly Journal of Mathematics (2017), 1--42 arxiv journal.
  6. Counting points on curves using a map to P^1, II, Finite Fields and their Applications 45 (2017), 301--322 arxiv journal erratum.
  7. Counting points on curves using a map to P^1, Mathematics of Computation 85 (2016), no. 298, 961--981 arxiv journal.
  8. Improvements to the deformation method for counting points on smooth projective hypersurfaces (with Sebastian Pancratz), Foundations of Computational Mathematics 15 (2015), no. 6, 1413--1464 arxiv journal.
  9. Effective convergence bounds for Frobenius structures on connections (with Kiran Kedlaya), Rendiconti del Seminario Matematico della Università di Padova 128 (2012), 7--16 arxiv journal.
  10. A refinement of a mixed sparse effective nullstellensatz, International Mathematics Research Notices (2010) journal.
  11. Counting points in families of nondegenerate curves, PhD thesis (2011) pdf.


→ Code:

  1. correlations, R implementation of the algorithms from "Correlation Matrices with Average Constraints" tar git.
  2. Cartan13, MAGMA code for the computations from "Explicit Chabauty-Kim for the Split Cartan Modular Curve of Level 13" tar git.
  3. Coleman, MAGMA code for Coleman integration and effective Chabauty on general curves (with Jennifer Balakrishnan) tar git examples.
  4. diagfrob, MAGMA code to compute p-adic cohomology and L-factors of diagonal hypersurfaces tar git.
  5. goodmodels, MAGMA implementation of the algorithms from "Point counting on curves using a gonality preserving lift" (with Wouter Castryck) tar git examples.
  6. pcc, MAGMA implementation of the algorithm from "Counting points on curves using a map to P^1" and "Counting points on curves using a map to P^1, II" tar git.
  7. deformation, C implementation (using FLINT) of the algorithm from "Improvements to the deformation method for counting points on smooth projective hypersurfaces" (with Sebastian Pancratz) tar git.


→ Talks:

  1. Computing Coleman integrals on general curves (Groningen, March 2018) pdf
  2. p-adic numerical methods in arithmetic geometry (Rennes, February 2018) pdf
  3. An update on p-adic point counting (LIX, Paris, February 2018) pdf
  4. Explicit Chabauty and the cursed curve. (Lille, February 2018) pdf
  5. Effective Chabauty and the cursed curve. (IHP, Paris, January 2018) pdf
  6. An update on effective Chabauty. (VU, Amsterdam, November 2017) pdf
  7. Computing zeta functions. (Leiden, August 2017) pdf
  8. Computing Coleman integrals II. (Oldenburg, June 2017) pdf
  9. Point counting: past, present and future. (MAGMA, January 2017) pdf
  10. Gonality preserving lifts of low genus curves (UNSW, January 2017) pdf
  11. Coleman integration for general curves. (Lille, October 2016) pdf
  12. Coleman integration for general curves. (Leuven, June 2016) pdf
  13. A survey of p-adic point counting. (Oxford, March 2016) pdf example1 example2
  14. Counting points on curves: the general case (Nancy, October 2015) pdf
  15. Counting points on curves: the general case (Oldenburg, May 2015) pdf
  16. Recent developments in point counting, (Arnhem, June 2014) pdf
  17. Counting points on (more general) curves, (Luxembourg, May 2014) pdf
  18. Counting points on curves using a map to P^1, (Luminy, February 2014) pdf
  19. Counting points on (more general) curves, (Essen, November 2013) pdf
  20. Counting points with the deformation method, (SAGE days, Oxford, October 2013) pdf
  21. Counting points on (more general) curves, (SAGE days, Rennes, September 2013) pdf