Dr. Thomas Hudson

Streets that follow like a tedious argument   -   T. S. Eliot, The love song of J. Alfred Prufrock  
Annamaria Franzoni non è Medea per il semplice fatto che Bruno Vespa non è Euripide.   -   Antonio Scurati  


Fachbereich C, Mathematik und Informatik
Bergische Universität Wuppertal
Gaußstr. 20
42119 Wuppertal

Raum: G.15.09
Tel: (0202) 439-3781
Mail: hudson (at) math.uni-wuppertal.de

Publications

  • Stability of Bott-Samelson Classes in Algebraic Cobordism (joint with T. Matsumura, N. Perrin), to appear in ``Schubert Calculus and Its Applications in Combinatorics and Representation Theory'', Springer Proceedings in Mathematics & Statistics. Available on the arxiv.
  • On the K-theoretic fundamental classes of Deligne-Lusztig varieties (joint with D. Peters), Journal of Pure and Applied Algebra, volume 224, issue 8, (2020), 106335. Available on the arxiv.
  • Double Grothendieck Polynomials for Symplectic and Odd Orthogonal Grassmannians (joint with T. Ikeda, T. Matsumura, H. Naruse), Journal of Algebra, volume 546, (2020), pp. 294-314. Available on the arxiv.
  • Symplectic and odd orthogonal Pfaffian formulas for algebraic cobordism (joint with T. Matsumura), Pacific Journal of Mathematics, volume 302, no. 1, (2019), pp. 97-118. Available on the arxiv.
  • Segre classes and Damon-Kempf-Laksov formula in algebraic cobordism (joint with T. Matsumura), Mathematische Annalen 374 issue 3–4, (2019), pp. 1439–1457.
    This is a post-peer review, pre-copyedit version of an article published in Mathematische Annalen.
    The final authenticated version is available online at: http://dx.doi.org/10.1007/s00208-019-01839-y.
  • Vexillary degeneracy loci classes in K-theory and algebraic cobordism (joint with T. Matsumura), European Journal of Combinatorics 70, (2018), pp. 190-201. Available on the arxiv.
  • Kempf-Laksov Schubert classes for even infinitesimal cohomology theories (joint with T. Matsumura), (2018), EMS Congress Report ``Schubert varieties, equivariant cohomology and characteristic classes''- IMPANGA15, pp. 126-151. Available on the arxiv.
  • Degeneracy loci classes in K-theory - Determinantal and Pfaffian formula (joint with T. Ikeda, T. Matsumura, H. Naruse), Advances in Mathematics 320 (2017), pp. 115-156. Available on the arxiv.
  • A Thom-Porteous formula for connective K-theory using algebraic cobordism, Journal of K-Theory 14 (2) (2014), pp. 343-369. Available on the arxiv.

    Preprints

  • Witt groups of Spinor varieties (joint with A. Martirosian, H. Xie), Preprint 2021, available on the arxiv.
  • The Z/2-cohomology of complex projective spaces (joint with S. R. Costenoble, S. Tilson), Preprint 2018 (revised 2021), available on the arxiv.
  • Generalised symplectic Schubert classes, Preprint 2015, available on the arxiv.

    Research interests

    Algebraic cobordism, Schubert calculus, Chern classes

    Teaching

    Sommersemester 2019
    Übungsgruppe zu Analysis auf Mannigfaltigkeiten
    Prof. Dr. Matthias Wendt

    Wintersemester 2018/19
    Tutorium zu Lineare Algebra I
    Prof. Dr. Jens Hornbostel

    Last modified: 23.09.2021