Homepage Mike Daas

In September 2024, I will start a 2-year postdoctoral research position at the
Max Planck Institute for Mathematics (MPIM) in Bonn under mentorship of prof. dr. Don Zagier.
In September 2020, I started as a PhD candidate at the Mathematical Institute at Leiden University.
My supervisor is prof. 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

Publications

CM-values of p-adic Theta-functions, 2023 (submitted) - [arXiv] (pdf)

Other papers

Equational proofs for a theorem by Jacobson for a significant density of even exponents, 2023 - (pdf)

Theses

PhD thesis at Leiden University: CM-values of p-adic Theta-functions, supervisor Jan Vonk, graduation 2024. The thesis will be posted soon.
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.

Supervision

Lars Pos, Universiteit Leiden, 2024, "De Jacobson-commutativiteitsstelling", bachelor thesis.

Conferences

July 21st to July 26th 2024, Conference on "Arithmetic Geometry" in Honour of Gerd Faltings' 70th Birthday, MPIM Bonn. (info)
June 30th to July 5th 2024, Galois representations, automorphic forms and their L-functions, GALF Luxembourg. (info)
June 23rd to June 29th 2024, Recent Progress on Hilbert's 12th Problem, ICMS Edinburgh. (info)
May 27th to May 31st 2024, Eigenvarieties and Bloch-Kato Selmer Groups, Copenhagen. (info)
May 13th to May 15th 2024, PhD Away Days, Luxembourg. (info)
April 11th 2024, Diamant Symposium, Utrecht. (info)
December 18th and December 19th 2023, Eisenstein Days at UCL 2023, University College London. (info)
December 6th to December 8th 2023, Modular Curves and their Arithmetic, Warwick. (info)
November 23rd and November 24nd 2023, Diamant Symposium, Eindhoven. (info)
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 November 17th 2023, June 9th 2023, May 13th 2022, November 12th 2021, October 22nd 2021, December 13th 2019, November 1st 2019, October 18th 2019 (info)

Academic Talks

June 27th 2024, CM-values of p-adic Theta-functions, ICMS Edinburgh. (slides)
June 3rd 2024, CM-values of p-adic Theta-functions, Junior Number Theory Seminar, Warwick. (slides)
April 19th 2024, A Curious Collection of Creative Conundrums, Luxembourg. (slides)
April 19th 2024, CM-values of p-adic Theta-functions, Intercity Number Theory Seminar, Leiden. (slides)
March 6th 2024,, CM-values of p-adic Theta-functions, University of Bristol. (slides)
January 22nd 2024, CM-values of p-adic Theta-functions, Ohio State University (online). (slides)
December 19th 2023, CM-values of p-adic Theta-functions, Copenhagen University (online). (slides)
November 23rd 2023, Gross and Zagier's Fascinating Formula, DIAMANT. (slides)
November 8th 2023, CM-values of p-adic Theta-functions, Algebra and Geometry Seminar, Leiden. (slides)
November 2nd 2023, Jacobson's Commutativity Theorem, Leiden. (slides)
October 10th 2023, CM-values of p-adic Theta-functions, Groningen. (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 (online). (slides)
June 18th 2021, Jacobson's commutativity theorem, Oxford (online). (slides)
June 8th 2021, Computations with étale cohomology, Oxford (online). (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)

Outreach Activities and Talks

I am active at the Dutch Mathematics Olympiad (NWO) and act as a personal tutor for talented high school students, and I have helped organise (international) events. I have appeared on BNR Nieuwsradio to talk about the history of mathematics on two separate occassions. In the past I have had other appearances on Dutch radio. I am on the editorial board (since 2019) of the Dutch mathematics magazine "Pythagoras" (info), a mathematics magazine aimed at the youth.

May 8th 2024, Gaten tussen Pythagoreïsche drietallen (Dutch), Leiden. (slides)
April 19th 2024, Opgaven voor de Olympiade (Dutch), Leve de Wiskunde, Universiteit van Amsterdam. (slides)
October 21th 2023, Opgaven voor de Olympiade (Dutch), Reunion Dutch Mathematics Olympiad (NWO). (slides)
April 26th 2023, Gaten tussen Pythagoreïsche drietallen (Dutch), Leiden. (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, close contact with the students and grading hand-in assignments. I have also organised an IMC-training in Leiden, preparing students for this International Mathematics Competition for university students. See my syllabus here to help prepare for the competition.

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)

Seminars

Spring 2022, Seminar on abelian varieties. (Leiden)
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)

Maths 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.

Problem 1 at the IMC 2024.
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.