Publications of Kirsten G. Wickelgren

Papers Published

  1. Arcila-Maya, N; Bethea, C; Opie, M; Wickelgren, K; Zakharevich, I, Compactly supported A1-Euler characteristic and the Hochschild complex, Topology and Its Applications, vol. 316 (July, 2022)
  2. Kuhn, N; Mallory, D; Thatte, V; Wickelgren, K, An explicit self-duality (November, 2021)
  3. Pauli, S; Wickelgren, K, Applications to A1 -enumerative geometry of the A1 -degree, Research in Mathematical Sciences, vol. 8 no. 2 (June, 2021)
  4. Srinivasan, P; Wickelgren, K, An arithmetic count of the lines meeting four lines in P3, Transactions of the American Mathematical Society, vol. 374 no. 5 (May, 2021), pp. 3427-3451
  5. Bachmann, T; Wickelgren, K, EULER CLASSES: SIX-FUNCTORS FORMALISM, DUALITIES, INTEGRALITY and LINEAR SUBSPACES of COMPLETE INTERSECTIONS, Journal of the Institute of Mathematics of Jussieu (January, 2021)
  6. Leo Kass, J; Wickelgren, K, An arithmetic count of the lines on a smooth cubic surface, Compositio Mathematica (January, 2021), pp. 677-709
  7. Kass, JL; Wickelgren, K, A classical proof that the algebraic homotopy class of a rational function is the residue pairing, Linear Algebra and Its Applications, vol. 595 (June, 2020), pp. 157-181
  8. Arcila-Maya, N; Bethea, C; Opie, M; Wickelgren, K; Zakharevich, I, Compactly supported $\mathbb{A}^{1}$-Euler characteristic and the Hochschild complex (March, 2020)
  9. Bethea, C; Kass, JL; Wickelgren, K, Examples of wild ramification in an enriched riemann–hurwitz formula, Surveys on Discrete and Computational Geometry: Twenty Years Later, vol. 745 (January, 2020), pp. 69-82
  10. Kass, JL; Wickelgren, K, The class of Eisenbud-Khimshiashvili-Levine is the local A 1 -Brouwer degree, Duke Mathematical Journal, vol. 168 no. 3 (February, 2019), pp. 429-469
  11. Bergner, JE; Joachimi, R; Lesh, K; Stojanoska, V; Wickelgren, K, Classification of problematic subgroups of U(n), Transactions of the American Mathematical Society, vol. 371 no. 10 (January, 2019), pp. 6739-6777
  12. Wickelgren, K; Williams, B, The simplicial EHP sequence in A1–algebraic topology, Geometry & Topology, vol. 23 no. 4 (January, 2019), pp. 1691-1777
  13. Wickelgren, K; Williams, B, Unstable Motivic Homotopy Theory, in Handbook of Homotopy Theory (2019), CRC Press, ISBN 0815369700
  14. Davis, R; Pries, R; Wickelgren, K, The Galois action on the lower central series of the fundamental group of the Fermat curve (August, 2018)
  15. Davis, R; Pries, R; Stojanoska, V; Wickelgren, K, The Galois action and cohomology of a relative homology group of Fermat curves, Journal of Algebra, vol. 505 (July, 2018), pp. 33-69
  16. Kass, JL; Wickelgren, K, An Étale realization which does NOT exist, in Contemporary Mathematics, vol. 707 (January, 2018), pp. 11-29
  17. Wickelgren, K, Massey products 〈y,x,x,…,x,x,y〉 in Galois cohomology via rational points, Journal of Pure and Applied Algebra, vol. 221 no. 7 (July, 2017), pp. 1845-1866
  18. Asok, A; Wickelgren, K; Williams, B, The simplicial suspension sequence in A1-homotopy, Geometry & Topology, vol. 21 no. 4 (May, 2017), pp. 2093-2160
  19. Wickelgren, K, Desuspensions of S 1 Λ (P1/Q - {0, 1, ∞ }), International Journal of Mathematics, vol. 27 no. 7 (June, 2016)
  20. Wickelgren, K, What is… an anabelian scheme?, Notices of the American Mathematical Society, vol. 63 no. 3 (March, 2016), pp. 285-286
  21. Davis, R; Pries, R; Stojanoska, V; Wickelgren, K, Galois Action on the Homology of Fermat Curves, vol. 3 (January, 2016), pp. 57-86
  22. Women in Topology, Surveys on Discrete and Computational Geometry: Twenty Years Later (May, 2015), American Mathematical Society
  23. Hopkins, MJ; Wickelgren, KG, Splitting varieties for triple Massey products, Journal of Pure and Applied Algebra, vol. 219 no. 5 (May, 2015), pp. 1304-1319
  24. Kass, JL; Wickelgren, K, An Abel map to the compactified Picard scheme realizes Poincaré duality, Algebraic & Geometric Topology, vol. 15 no. 1 (March, 2015), pp. 319-369
  25. Wickelgren, K, 2-Nilpotent real section conjecture, Mathematische Annalen, vol. 358 no. 1-2 (February, 2014), pp. 361-387
  26. Wickelgren, K, Cartier’s first theorem for Witt vectors on ℤ_{≥0}ⁿ-0, Surveys on Discrete and Computational Geometry: Twenty Years Later (2014), pp. 321-328, American Mathematical Society, ISBN 9780821894743
  27. Wickelgren, K, n-nilpotent obstructions to pi(1)sections of P-1 - {0, 1, infinity} and Massey products, edited by Nakamura, H; Pop, F; Schneps, L; Tamagawa, A, Galois Teichmueller Theory and Arithmetic Geometry, vol. 63 (January, 2012), pp. 579-600, MATH SOC JAPAN, ISBN 978-4-86497-014-3
  28. Wickelgren, K, On 3-nilpotent obstructions to π1 sections for ℙ1-{0,1,∞}, in The Arithmetic of Fundamental Groups: PIA 2010 (January, 2012), pp. 281-328, ISBN 9783642239045
  29. Wickelgren, K, 3-nilpotent obstructions to pi_1 sections for P^1_Q - {0,1,infty}, edited by Stix, J, The Arithmetic of Fundamental Groups Pia 2010, Editor J. Stix, Contributions in Mathematical and Computational Sciences, Vol. 2, Springer Verlag Berlin Heidelberg, 2012 (January, 2012)
  30. Vakil, R; Wickelgren, K, Universal covering spaces and fundamental groups in algebraic geometry as schemes, Journal De Theorie Des Nombres De Bordeaux, vol. 23 no. 2 (January, 2011), pp. 489-526
  31. Iams, S; Katz, B; Silva, CE; Street, B; Wickelgren, K, On weakly mixing and doubly ergodic nonsingular actions, Colloquium Mathematicum, vol. 103 no. 2 (January, 2005), pp. 247-264