Math @ Duke
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Papers Published
- 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 [doi] [abs]
- 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 1009054856 [abs]
- 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) [doi] [abs]
- Pauli, S; Wickelgren, K, Applications to A1 -enumerative geometry of the A1 -degree,
Research in Mathematical Sciences, vol. 8 no. 2
(June, 2021) [doi] [abs]
- 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 [doi] [abs]
- Leo Kass, J; Wickelgren, K, An arithmetic count of the lines on a smooth cubic surface,
Compositio Mathematica
(January, 2021),
pp. 677-709 [doi] [abs]
- 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 [doi] [abs]
- Arcila-Maya, N; Bethea, C; Opie, M; Wickelgren, K; Zakharevich, I, Compactly supported $\mathbb{A}^{1}$-Euler characteristic and the
Hochschild complex
(March, 2020) [abs]
- 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 [doi] [abs]
- 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 [doi] [abs]
- 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 [doi] [abs]
- Wickelgren, K; Williams, B, The simplicial EHP sequence in A1–algebraic topology,
Geometry & Topology, vol. 23 no. 4
(January, 2019),
pp. 1691-1777 [doi] [abs]
- Wickelgren, K; Williams, B, Unstable Motivic Homotopy Theory,
in Handbook of Homotopy Theory
(2019), CRC Press, ISBN 0815369700 [abs]
- Davis, R; Pries, R; Wickelgren, K, The Galois action on the lower central series of the fundamental group
of the Fermat curve
(August, 2018) [abs]
- 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 [doi] [abs]
- Kass, JL; Wickelgren, K, An Étale realization which does NOT exist,
in Contemporary Mathematics, vol. 707
(January, 2018),
pp. 11-29 [doi] [abs]
- 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 [doi] [abs]
- Asok, A; Wickelgren, K; Williams, B, The simplicial suspension sequence in A1-homotopy,
Geometry & Topology, vol. 21 no. 4
(May, 2017),
pp. 2093-2160 [doi] [abs]
- Wickelgren, K, Desuspensions of S 1 Λ (P1/Q - {0, 1, ∞ }),
International Journal of Mathematics, vol. 27 no. 7
(June, 2016) [doi] [abs]
- Wickelgren, K, What is… an anabelian scheme?,
Notices of the American Mathematical Society, vol. 63 no. 3
(March, 2016),
pp. 285-286 [doi]
- Davis, R; Pries, R; Stojanoska, V; Wickelgren, K, Galois Action on the Homology of Fermat Curves, vol. 3
(January, 2016),
pp. 57-86 [doi] [abs]
- Women in Topology, edited by Basterra, M; Bauer, K; Hess, K; Johnson, B,
Surveys on Discrete and Computational Geometry: Twenty Years Later
(May, 2015), American Mathematical Society [doi]
- 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 [doi] [abs]
- 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 [doi] [abs]
- Bergner, JE; Joachimi, R; Lesh, K; Stojanoska, V; Wickelgren, K, Fixed points of p-toral groups acting on partition complexes,
Surveys on Discrete and Computational Geometry: Twenty Years Later, vol. 641
(January, 2015),
pp. 83-96 [doi] [abs]
- Wickelgren, K, 2-Nilpotent real section conjecture,
Mathematische Annalen, vol. 358 no. 1-2
(February, 2014),
pp. 361-387 [doi] [abs]
- 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 [doi]
- 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
- 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 [doi] [abs]
- 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) [abs]
- 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 [doi] [abs]
- 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 [doi] [abs]
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Mathematics Department
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