Daniel Windisch

Publications

[14] with V. Bilò, M. Mavronicolas and P.G. Spirakis, Mixed Nash Equilibria for the Contest Game with Proportional Allocation, accepted at the International Symposium on Algorithmic Game Theory (SAGT) 2025.

[13] with I. Portakal, Dependency equilibria: Boundary cases and their real algebraic geometry, Adv. Appl. Math. 168, 2025, 102890.

[12] On the arithmetic of ultraproducts of commutative cancellative monoids, J. Algebra 667 (2025), 259-281.

[11] On local divisor class groups of complete intersections, J. Pure Appl. Algebra 229:1 (2025), 107804.

[10] with R. Tichy, Irreducibility properties of Carlitz' binomial coefficients for algebraic function fields, Finite Fields and their Applications 96 (2024), 102413.

[9] with V. Fadinger-Held, Lengths of factorizations of integer-valued polynomials on Krull domains with prime elements, Archiv der Mathematik 123 (2024), 123-135.

[8] with C.A. Finocchiaro and S. Frisch, Prime ideals in infinite products of commutative rings, Communications in Contemporary Mathematics 26:08 (2023),  2350045.

[7] with V. Fadinger-Held and S. Frisch, Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations, Monatshefte für Mathematik 202 (2023), 773-789.

[6] Equivalent characterizations of non-Archimedean uniform spaces, In: Chabert, JL., Fontana, M., Frisch, S., Glaz, S., Johnson, K. (eds) Algebraic, Number Theoretic, and Topological Aspects of Ring Theory, Springer, Cham (2023), 463-474.

[5] with G.W. Chang and V. Fadinger-Held, Semigroup rings as weakly Krull domains, Pacific J. Math. 318:2 (2022), 433-452.

[4] with V. Fadinger-Held, On the distribution of prime divisors in class groups of affine monoid algebras, Comm. Algebra 50:7 (2022), 2973-2982. 

[3] with V. Fadinger-Held, On the distribution of prime divisors in Krull monoid algebras, J. Pure Appl. Algebra 226:4 (2022). 

[2] with V. Fadinger-Held, A characterization of weakly Krull monoid algebras, J. Algebra 590 (2022), 277-292.

[1] with R. Rissner, Absolute irreducibility of the binomial polynomials, J. Algebra 578 (2021), 92-114. 

Preprints

[16] with D. Kosta, Classification of real hyperplane singularities by real log canonical thresholds, 2024.

[15] with V. Fadinger-Held, S. Frisch, S. Nakato, and D. Smertnig, Primes and absolutely or non-absolutely irreducible elements in atomic domains, 2024.

Talks (selection)

• Learning coefficients for real hyperplane arrangements
  Algebraic Statistics 2025, TU Munich, 2025

• Model selection and real resolution of singularities
  Ring Theory Seminar, University of Graz, 2024 (invited talk)

• Ultraproducts and Protoproducts: New links between factorizations and logic
  Special session on Rings, Modules, and Factorizations
  9th European Congress of Mathematics, Sevilla, 2024 (invited talk)

• Algebraic geometry of equilibria in cooperative games
  Meeting of the UK Applied Algebra and Geometry Network, Edinburgh, 2024 (invited talk)

• Ultraproducts for multiplicative relations in integral domains
  Algebra-Geometry-Combinatorics Seminar, TU Dresden, 2024 (invited talk)

• Algebraic geometry of equilibria in cooperative games
  Number Theory and Arithmetical Statistics Seminar, University of Paderborn, 2024 (invited talk)

• Ideal operations for the algebraic geometry of games
  Algebra and Number Theory Seminar, University of Graz, 2024 (invited talk)

• An algebro-geometric glimpse on a concept from cooperative game theory
  Non-Linear Algebra Seminar, Max-Planck-Institute for Mathematics in the Sciences, Leipzig, 2024

• On divisors of locally complete intersection schemes
  Algebra and functional analysis seminar, University of Ljubljana, 2023 (invited talk)

• Local divisor class groups of complete intersections
  Meeting of the Austrian Mathematical Society, Graz, 2023

• Geometry of integral schemes and arithmetic of their associated rings
  Conference on Rings and Factorizations, University of Graz, 2023

• Algebraic and  arithmetic properties of monoid algebras
  University of Catania, 2022 (invited talk)

• Class groups, prime divisors and factorizations in numerical semigroup algebras
  International meeting on numerical semigroups, Rome, Italy, 2022 (invited talk)

• Absolute irreducibility of the binomial polynomials
  Polynomials and Arithmetic,  Lille, France, 2022

• Absolute irreducibility of the binomial polynomials
  Conference on Rings and Polynomials, Graz University of Technology, Austria, 2021

• Prime ideals in infinite products of commutative rings
  Joint Mathematics Meeting of the AMS, online, 2021 (invited talk)

Teaching

• Topological Aspects of Commutative Ring Theory
  joint online course of Graz University of Technology and Univerity of Catania, Sicily
  lecture and exercise class, 2 hours, summer term 2023

• Introduction to Algebra
  at Karl-Franzens Universität Graz
  exercise class, 2 hours, summer term 2022

• Elementary Discrete Mathematics
  at Karl-Franzens Universität Graz
  lecture and exercise class, 2 hours, winter term 2021

• Elementary Discrete Mathematics
  at Karl-Franzens Universität Graz
  lecture and exercise class, 2 hours, winter term 2020

• Analysis 1
  at Karl-Franzens Universität Graz
  exercise class, 2 hours, winter term 2019

• Analysis 1 for computer science
  at Graz University of Technology
  exercise class, 1 hour, winter term 2019