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:
- Quadratic Chabauty for modular curves: Algorithms and examples , (with Jennifer Balakrishnan, Netan Dogra, Steffen Mueller and Jan Vonk), Compositio Mathematica 159 (2023), no. 6, 1111--1152 arxiv journal.
- Correlation Matrices with Average Constraints, (with Steven Vanduffel and Jing Yao), Statistics and Probability Letters 65, 108868 (2020) SSRN journal.
- Explicit Coleman integration for curves, (with Jennifer Balakrishnan), Mathematics of Computation 89 (2020), 2965-2984 arxiv journal.
- 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.
- Computing zeta functions of generic projective hypersurfaces in larger characteristic, Mathematics of Computation 88 (2019), 439--451 arxiv journal.
- Point counting on curves using a gonality preserving lift (with Wouter Castryck), The Quarterly Journal of Mathematics (2017), 1--42 arxiv journal.
- Counting points on curves using a map to P^1, II, Finite Fields and their Applications 45 (2017), 301--322 arxiv journal erratum.
- Counting points on curves using a map to P^1, Mathematics of Computation 85 (2016), no. 298, 961--981 arxiv journal.
- 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.
- 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.
- A refinement of a mixed sparse effective nullstellensatz,
International Mathematics Research Notices (2010) journal.
- Counting points in families of nondegenerate curves,
PhD thesis (2011) pdf.
→ Code:
- correlations, R implementation of the algorithms from "Correlation Matrices with Average Constraints" tar git.
- Cartan13, MAGMA code for the computations from "Explicit Chabauty-Kim for the Split Cartan Modular Curve of Level 13" tar git.
- Coleman, MAGMA code for Coleman integration and effective Chabauty on general curves (with Jennifer Balakrishnan) tar git examples.
- diagfrob, MAGMA code to compute p-adic cohomology and L-factors of diagonal hypersurfaces tar git.
- goodmodels, MAGMA implementation of the algorithms from "Point counting on curves using a gonality preserving lift" (with Wouter Castryck) tar git examples.
- 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.
- 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:
- Computing Coleman integrals on general curves (Groningen, March 2018) pdf
- p-adic numerical methods in arithmetic geometry (Rennes, February 2018) pdf
- An update on p-adic point counting (LIX, Paris, February 2018) pdf
- Explicit Chabauty and the cursed curve. (Lille, February 2018) pdf
- Effective Chabauty and the cursed curve. (IHP, Paris, January 2018) pdf
- An update on effective Chabauty. (VU, Amsterdam, November 2017) pdf
- Computing zeta functions. (Leiden, August 2017) pdf
- Computing Coleman integrals II. (Oldenburg, June 2017) pdf
- Point counting: past, present and future. (MAGMA, January 2017) pdf
- Gonality preserving lifts of low genus curves (UNSW, January 2017) pdf
- Coleman integration for general curves. (Lille, October 2016) pdf
- Coleman integration for general curves. (Leuven, June 2016) pdf
- A survey of p-adic point counting. (Oxford, March 2016) pdf example1 example2
- Counting points on curves: the general case (Nancy, October 2015) pdf
- Counting points on curves: the general case (Oldenburg, May 2015) pdf
- Recent developments in point counting, (Arnhem, June 2014) pdf
- Counting points on (more general) curves, (Luxembourg, May 2014) pdf
- Counting points on curves using a map to P^1, (Luminy, February 2014) pdf
- Counting points on (more general) curves, (Essen, November 2013) pdf
- Counting points with the deformation method, (SAGE days, Oxford, October 2013) pdf
- Counting points on (more general) curves, (SAGE days, Rennes, September 2013) pdf