Math @ Duke

Papers Published
 ArcilaMaya, N; Bethea, C; Opie, M; Wickelgren, K; Zakharevich, I, Compactly supported A^{1}Euler characteristic and the Hochschild complex,
Topology and Its Applications
(January, 2022) [doi] [abs]
 Kuhn, N; Mallory, D; Thatte, V; Wickelgren, K, An explicit selfduality
(November, 2021) [abs]
 Pauli, S; Wickelgren, K, Applications to A^{1} enumerative geometry of the A^{1} 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 P^{3},
Transactions of the American Mathematical Society, vol. 374 no. 5
(May, 2021),
pp. 34273451 [doi] [abs]
 Bachmann, T; Wickelgren, K, EULER CLASSES: SIXFUNCTORS FORMALISM, DUALITIES, INTEGRALITY and LINEAR SUBSPACES of COMPLETE INTERSECTIONS,
Journal of the Institute of Mathematics of Jussieu
(January, 2021) [doi] [abs]
 Leo Kass, J; Wickelgren, K, An arithmetic count of the lines on a smooth cubic surface,
Compositio Mathematica
(January, 2021),
pp. 677709 [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. 157181 [doi] [abs]
 ArcilaMaya, 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. 6982 [doi] [abs]
 Kass, JL; Wickelgren, K, The class of EisenbudKhimshiashviliLevine is the local A ^{1} Brouwer degree,
Duke Mathematical Journal, vol. 168 no. 3
(February, 2019),
pp. 429469 [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. 67396777 [doi] [abs]
 Wickelgren, K; Williams, B, The simplicial EHP sequence in A^{1}–algebraic topology,
Geometry & Topology, vol. 23 no. 4
(January, 2019),
pp. 16911777 [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. 3369 [doi] [abs]
 Kass, JL; Wickelgren, K, An Étale realization which does NOT exist,
in Contemporary Mathematics, vol. 707
(January, 2018),
pp. 1129 [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. 18451866 [doi] [abs]
 Asok, A; Wickelgren, K; Williams, B, The simplicial suspension sequence in A^{1}homotopy,
Geometry & Topology, vol. 21 no. 4
(May, 2017),
pp. 20932160 [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. 285286 [doi]
 Davis, R; Pries, R; Stojanoska, V; Wickelgren, K, Galois Action on the Homology of Fermat Curves, vol. 3
(January, 2016),
pp. 5786 [doi] [abs]
 Women in Topology,
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. 13041319 [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. 319369 [doi] [abs]
 Wickelgren, K, 2Nilpotent real section conjecture,
Mathematische Annalen, vol. 358 no. 12
(February, 2014),
pp. 361387 [doi] [abs]
 Wickelgren, K, Cartier’s first theorem for Witt vectors on ℤ_{≥0}ⁿ0,
Surveys on Discrete and Computational Geometry: Twenty Years Later
(2014),
pp. 321328, American Mathematical Society, ISBN 9780821894743 [doi]
 Wickelgren, K, nnilpotent obstructions to pi(1)sections of P1  {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. 579600, MATH SOC JAPAN, ISBN 9784864970143
 Wickelgren, K, On 3nilpotent obstructions to π1 sections for ℙ^{1}ℚ{0,1,∞},
in The Arithmetic of Fundamental Groups: PIA 2010
(January, 2012),
pp. 281328, ISBN 9783642239045 [doi] [abs]
 Wickelgren, K, 3nilpotent 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. 489526 [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. 247264 [doi] [abs]


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Mathematics Department
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