Homepage Mike Daas

In September 2020, I started as a PhD candidate at the Mathematical Institute at Leiden University.
My supervisor is dr. Jan Vonk and I primarily study number theory.
In particular, my research concerns p-adic CM-theory using theta functions, Shimura curves,
Galois deformations, p-adic modular forms, and generalisations of the work by Gross and Zagier
on the factorisations of differences between singular moduli.
My CV can be found here.

Contact
Snellius room 227a
Niels Bohrweg 1
2333 CA Leiden
Email: m.a.daas at the domain math.leidenuniv.nl

Articles

CM-values of p-adic Theta-functions, 2023 - [arXiv] (pdf)
Equational proofs for a theorem by Jacobson for a significant density of even exponents, 2023 - (pdf)

Theses

Master thesis at the University of Amsterdam (UvA): The Symplectic Method for solving Diophantine Equations, supervisor Sander Dahmen, graduation 2020. The thesis may be found here.
Bachelor thesis at the University of Amsterdam (UvA): An introductory approach to instantons and the ADHM-construction, supervisors prof. dr. Erik Verlinde and dr. Raf Bocklandt, graduation 2018. The thesis may be found here.

Seminars

Spring 2022, Seminar on algorithmic number theory. (Leiden)
Spring 2022, Seminar on crystalline cohomology. (Leiden)
Fall 2021 / Spring 2022, Seminar on CM theory and Stark's conjectures. (Leiden)
Fall 2021, Seminar on étale cohomology. (UvA)
(Ongoing) Algebra, Geometry and Number Theory seminar. (Leiden)
Summer 2021, Seminar on étale cohomology. (Oxford)
Spring 2021, Introduction to the local Langlands program. (UvA)
Spring 2021, Topics in algebraic geometry seminar on examples, counterexamples and descent. (Leiden)
Spring 2021, Seminar on formal moduli problems. (UvA)
Fall 2020, Seminar on deformation theory. (UvA)
Fall 2020, Introduction to infinity categories. (RU)
Fall 2020, Introduction to the Brauer-Manin obstruction. (Leiden)
Spring 2020, Seminar on derived categories. (RU)
Fall 2019, Seminar on étale cohomology. (UvA)

Conferences

October 30th to November 2nd 2023, PhD Away Days, Leiden. (info)
May 30th to June 2nd 2023, An Expedition into Arithmetic Geometry, Leiden. (info)
May 15th to May 19th 2023, Arithmetic Statistics, CIRM Luminy. (info)
May 8th to May 12th 2023, Spring school in Arithmetic Statistics, CIRM Luminy. (info)
April 3rd to April 7th 2023, Density problems in Arithmetic, CIRM Luminy. (info)
February 6th to February 10th 2023, Symposium on Arithmetic Geometry and its Applications (SAGA), CIRM Luminy. (info)
January 30th to February 3rd 2023, Introduction to SAGA, CIRM Luminy. (info)
August 15th to 19th 2022, Mordell 2022, Cambridge. (info)
August 8th to 12th 2022, Elliptic Curves Graduate School, Wales. (info)
July 5th and 6th 2022, Leiden-Luxembourg Number Theory PhD Day 2022 (invited speaker). (info)
April 21st 2022, DIAMANT symposium. (info)
November 25th and 26th 2021, DIAMANT symposium (speaker). (info)
May 19th to May 21st 2021, RSVP: Rendez-vous on special values and periods. (info)
November 26th and 27th 2020, DIAMANT symposium (online). (info)
Intercity Number Theory seminars of December 13th 2019, November 1st 2019, October 18th 2019, October 22nd 2021, November 12th 2021, May 13th 2022 (info)

Talks

October 10th 2023, CM-values of p-adic Theta-functions, Groningen. (slides)
April 26th 2023, Gaten tussen Pythagoreïsche drietallen (Dutch), Leiden. (slides)
April 3rd 2023, CM-values of p-adic Theta-functions, CIRM Luminy. (slides)
July 5th 2022, Mysterious factorisations and Knopp's cocycle, Luxembourg. (slides)
June 6th 2022, An explicit example of Stark's conjecture for the field Q(zeta_5), Leiden. (notes)
June 2th 2022, The quadratic and number field sieves for factoring large integers, Leiden. (no slides)
November 25th 2021, The symplectic method for solving diophantine equations (award winning), DIAMANT. (slides)
November 10th 2021, The modular method for solving diophantine equations, Leiden. (no slides)
October 25th 2021, The étale cohomology of curves, Leiden. (no slides)
September 20th 2021, The fpqc-site and faithfully flat descent, Leiden. (no slides)
June 22th 2021, Applications of Poincaré duality, Oxford. (slides)
June 18th 2021, Jacobson's commutativity theorem, Oxford. (slides)
June 8th 2021, Computations with étale cohomology, Oxford. (slides)
April 7th 2021, The L-group and local Langlands parameters, Amsterdam. (slides)
March 4th 2021, The fppf and fpqc sites, Leiden. (slides)
October 15th 2020, Schlessinger pro-representability and hull existence criteria, Amsterdam. (slides)
May 13th 2020, The projective model structure on chain complexes of modules, Nijmegen. (slides)
Winter 2020, The Lefschetz trace formula and étale cohomology, Amsterdam. (no slides)
Fall 2019, Comparing Cech cohomology to étale cohomology, Amsterdam. (no slides)

Teaching

I have been a teaching assistant at both the University of Amsterdam and at Leiden University for bachelor and master level mathematics courses, which includes teaching exercise classes and grading hand-in assignments. I am also actively organising an IMC-training in Leiden, preparing students for this International Mathematics Competition for university students.

Fall 2023, Diophantine Approximation (Mastermath)
Spring 2023, Topics in Number Theory (Leiden)
Fall 2022, Analytic Number Theory (Mastermath)
Spring 2022, Modular Forms (Mastermath)
Fall 2021, Algebraic Number Theory (Mastermath)
Spring 2021, Topics in Number Theory (Leiden)
Fall 2020, Analytic Number Theory (Mastermath)
Spring 2020, Training IMC (UvA)
Spring 2020, Galois Theory (UvA)
Fall 2019: Representation Theory (UvA)
Spring 2019: Training IMC (UvA)
Spring 2018: Linear Algebra 2 (UvA)

Problems

I enjoy coming up with mathematical problems; either recreationally, or as intended to be used for mathematics olympiads. As part of the editorial board (since 2019) of the Dutch mathematics magazine "Pythagoras" (info), I control the bi-monthly challenge problem section. My problems have been featured in all rounds of the Dutch Mathematics Olympiad (NWO) and on various bachelor-level and master-level exams, both oral and written. Finally, some of my proposals have been featured at the IMC (info), a large International Mathematics Competition for university students.

Problems 2 and 7 at the IMC 2023.
Problems 1 and 5 at the IMC 2022.
Problems in the final of the NWO since 2020.
Problems in the second round of the NWO since 2021.
Problems in the first round of the NWO since 2020.
Problems in the Junior Math Olympiad since 2019.