Publications of Kirsten G. Wickelgren

Papers Published

  1. Wickelgren, K, 2-Nilpotent real section conjecture, Mathematische Annalen, vol. 358 no. 1-2 (February, 2014), pp. 361-387
  2. 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)
  3. 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
  4. Kass, JL; Wickelgren, K, An Abel map to the compactified Picard scheme realizes Poincaré duality, Algebraic and Geometric Topology, vol. 15 no. 1 (March, 2015), pp. 319-369
  5. 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
  6. Leo Kass, J; Wickelgren, K, An arithmetic count of the lines on a smooth cubic surface, Compositio Mathematica, vol. 157 no. 4 (April, 2021), pp. 677-709
  7. Kass, JL; Wickelgren, K, An Étale realization which does NOT exist, in Contemporary Mathematics, vol. 707 (January, 2018), pp. 11-29
  8. Kuhn, N; Mallory, D; Thatte, V; Wickelgren, K, An explicit self-duality, in Stacks Project Expository Collection (SPEC), edited by Belmans, P; Ho, W; de Jong, AJ, vol. 480 (October, 2022), Cambridge University Press, ISBN 9781009054850
  9. Pauli, S; Wickelgren, K, Applications to A1 -enumerative geometry of the A1 -degree, Research in Mathematical Sciences, vol. 8 no. 2 (June, 2021)
  10. Wickelgren, K, Cartier’s first theorem for Witt vectors on ℤ_{≥0}ⁿ-0 (2014), pp. 321-328, American Mathematical Society, ISBN 9780821894743
  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. 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)
  13. Wickelgren, K, Desuspensions of S 1 Λ (P1/Q - {0, 1, ∞ }), International Journal of Mathematics, vol. 27 no. 7 (June, 2016)
  14. 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, vol. 22 no. 2 (March, 2023), pp. 681-746
  15. Bethea, C; Kass, JL; Wickelgren, K, Examples of wild ramification in an enriched riemann–hurwitz formula, Contemporary Mathematics, vol. 745 (January, 2020), pp. 69-82
  16. Davis, R; Pries, R; Stojanoska, V; Wickelgren, K, Galois Action on the Homology of Fermat Curves, vol. 3 (January, 2016), pp. 57-86
  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. 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
  19. Wickelgren, K, On 3-nilpotent obstructions to π1 sections for ℙ1ℚ-{0,1,∞}, in The Arithmetic of Fundamental Groups: PIA 2010 (January, 2012), pp. 281-328, ISBN 9783642239045
  20. Bachmann, T; Wickelgren, K, On quadratically enriched excess and residual intersections, Journal fur die Reine und Angewandte Mathematik, vol. 2023 no. 802 (September, 2023), pp. 77-123
  21. 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
  22. 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
  23. 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
  24. 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
  25. Davis, R; Pries, R; Wickelgren, K, The Galois action on the lower central series of the fundamental group of the Fermat curve, Israel Journal of Mathematics (January, 2023)
  26. Wickelgren, K; Williams, B, The simplicial EHP sequence in A1–algebraic topology, Geometry and Topology, vol. 23 no. 4 (January, 2019), pp. 1691-1777
  27. Asok, A; Wickelgren, K; Williams, B, The simplicial suspension sequence in A1-homotopy, Geometry and Topology, vol. 21 no. 4 (May, 2017), pp. 2093-2160
  28. 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
  29. Wickelgren, K; Williams, B, Unstable Motivic Homotopy Theory, in Handbook of Homotopy Theory (2019), CRC Press, ISBN 9780815369707
  30. Wickelgren, K, What is… an anabelian scheme?, Notices of the American Mathematical Society, vol. 63 no. 3 (March, 2016), pp. 285-286
  31. Women in Topology, edited by Basterra, M; Bauer, K; Hess, K; Johnson, B (May, 2015), American Mathematical Society