Kirsten Graham Wickelgren

Kirsten Graham Wickelgren
Professor of Mathematics

Office Hours

Tuesday 1:15-2:15pm, Thursday 11-12pm in Math and Physics 025 (in person). Virtual office hours are available by appointment. Please email me for the zoom link.

Current Appointments & Affiliations

Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2019

Contact Information

Background
Education, Training, & Certifications
- Ph.D., Stanford University 2009
Recognition
Awards & Honors
- Fellow of the AMS. American Mathematical Society. November 2022
- Member of the K-Theory Foundation. The K-Theory Foundation. 2021
Research
Selected Grants
- A1-Homotopy Theory and Applications to Enumerative Geometry awarded by National Science Foundation 2021 - 2024
- Algebraic Topology and Topological Data Analysis: A Conference in Honor of Gunnar Carlsson awarded by National Science Foundation 2022 - 2023
- Career: Etale amd Motivic Homotopy Theory and Applications to Arithmetic Geometry awarded by National Science Foundation 2019 - 2022
Fellowships, Supported Research, & Other Grants
- Homotopy theory of schemes, Grothendieck's anabelian program, rational points awarded by National Science Foundation 2014 - 2017
Publications & Artistic Works
Selected Publications
- Academic Articles
  - Arcila-Maya, N., C. Bethea, M. Opie, K. Wickelgren, and I. Zakharevich. “Compactly supported A¹-Euler characteristic and the Hochschild complex.” Topology and Its Applications 316 (July 1, 2022). https://doi.org/10.1016/j.topol.2022.108108.
    Full Text
  - Pauli, S., and K. Wickelgren. “Applications to A¹ -enumerative geometry of the A¹ -degree.” Research in Mathematical Sciences 8, no. 2 (June 1, 2021). https://doi.org/10.1007/s40687-021-00255-6.
    Full Text
  - Srinivasan, P., and K. Wickelgren. “An arithmetic count of the lines meeting four lines in P³.” Transactions of the American Mathematical Society 374, no. 5 (May 1, 2021): 3427–51. https://doi.org/10.1090/tran/8307.
    Full Text
  - Bachmann, T., and K. Wickelgren. “EULER CLASSES: SIX-FUNCTORS FORMALISM, DUALITIES, INTEGRALITY and LINEAR SUBSPACES of COMPLETE INTERSECTIONS.” Journal of the Institute of Mathematics of Jussieu, January 1, 2021. https://doi.org/10.1017/S147474802100027X.
    Full Text
  - Leo Kass, J., and K. Wickelgren. “An arithmetic count of the lines on a smooth cubic surface.” Compositio Mathematica, January 1, 2021, 677–709. https://doi.org/10.1112/S0010437X20007691.
    Full Text
  - Kass, J. L., and K. Wickelgren. “A classical proof that the algebraic homotopy class of a rational function is the residue pairing.” Linear Algebra and Its Applications 595 (June 15, 2020): 157–81. https://doi.org/10.1016/j.laa.2019.12.041.
    Full Text Open Access Copy
  - Arcila-Maya, Niny, Candace Bethea, Morgan Opie, Kirsten Wickelgren, and Inna Zakharevich. “Compactly supported $\mathbb{A}^{1}$-Euler characteristic and the Hochschild complex,” March 20, 2020.
    Open Access Copy Link to Item
  - Bethea, C., J. L. Kass, and K. Wickelgren. “Examples of wild ramification in an enriched riemann–hurwitz formula.” Contemporary Mathematics 745 (January 1, 2020): 69–82. https://doi.org/10.1090/conm/745/15022.
    Full Text
  - Kass, J. L., and K. Wickelgren. “The class of Eisenbud-Khimshiashvili-Levine is the local A ¹ -Brouwer degree.” Duke Mathematical Journal 168, no. 3 (February 15, 2019): 429–69. https://doi.org/10.1215/00127094-2018-0046.
    Full Text
  - Bergner, J. E., R. Joachimi, K. Lesh, V. Stojanoska, and K. Wickelgren. “Classification of problematic subgroups of U(n).” Transactions of the American Mathematical Society 371, no. 10 (January 1, 2019): 6739–77. https://doi.org/10.1090/tran/7442.
    Full Text
  - Wickelgren, K., and B. Williams. “The simplicial EHP sequence in A¹–algebraic topology.” Geometry and Topology 23, no. 4 (January 1, 2019): 1691–1777. https://doi.org/10.2140/gt.2019.23.1691.
    Full Text
  - Davis, Rachel, Rachel Pries, and Kirsten Wickelgren. “The Galois action on the lower central series of the fundamental group of the Fermat curve,” August 14, 2018.
    Link to Item
  - Davis, R., R. Pries, V. Stojanoska, and K. Wickelgren. “The Galois action and cohomology of a relative homology group of Fermat curves.” Journal of Algebra 505 (July 1, 2018): 33–69. https://doi.org/10.1016/j.jalgebra.2018.02.021.
    Full Text
  - Wickelgren, K. “Massey products 〈y,x,x,…,x,x,y〉 in Galois cohomology via rational points.” Journal of Pure and Applied Algebra 221, no. 7 (July 1, 2017): 1845–66. https://doi.org/10.1016/j.jpaa.2016.12.027.
    Full Text
  - Asok, A., K. Wickelgren, and B. Williams. “The simplicial suspension sequence in A¹-homotopy.” Geometry and Topology 21, no. 4 (May 19, 2017): 2093–2160. https://doi.org/10.2140/gt.2017.21.2093.
    Full Text
  - Wickelgren, K. “What is… an anabelian scheme?” Notices of the American Mathematical Society 63, no. 3 (March 1, 2016): 285–86. https://doi.org/10.1090/noti1342.
    Full Text
  - Basterra, Maria, Kristine Bauer, Kathryn Hess, and Brenda Johnson, eds. “Women in Topology,” May 21, 2015. https://doi.org/10.1090/conm/641.
    Full Text Open Access Copy
  - Hopkins, M. J., and K. G. Wickelgren. “Splitting varieties for triple Massey products.” Journal of Pure and Applied Algebra 219, no. 5 (May 1, 2015): 1304–19. https://doi.org/10.1016/j.jpaa.2014.06.006.
    Full Text
  - Kass, J. L., and K. Wickelgren. “An Abel map to the compactified Picard scheme realizes Poincaré duality.” Algebraic and Geometric Topology 15, no. 1 (March 23, 2015): 319–69. https://doi.org/10.2140/agt.2015.15.319.
    Full Text
  - Wickelgren, K. “2-Nilpotent real section conjecture.” Mathematische Annalen 358, no. 1–2 (February 1, 2014): 361–87. https://doi.org/10.1007/s00208-013-0967-5.
    Full Text
  - Wickelgren, Kirsten. “3-nilpotent obstructions to pi_1 sections for P^1_Q - {0,1,infty}.” Edited by Jakob Stix. The Arithmetic of Fundamental Groups Pia 2010, Editor J. Stix, Contributions in Mathematical and Computational Sciences, Vol. 2, Springer Verlag Berlin Heidelberg, 2012, January 1, 2012.
    Link to Item
  - Vakil, R., and K. Wickelgren. “Universal covering spaces and fundamental groups in algebraic geometry as schemes.” Journal De Theorie Des Nombres De Bordeaux 23, no. 2 (January 1, 2011): 489–526. https://doi.org/10.5802/jtnb.774.
    Full Text
  - Iams, S., B. Katz, C. E. Silva, B. Street, and K. Wickelgren. “On weakly mixing and doubly ergodic nonsingular actions.” Colloquium Mathematicum 103, no. 2 (January 1, 2005): 247–64. https://doi.org/10.4064/cm103-2-10.
    Full Text
  - Bachmann, Tom, and Kirsten Wickelgren. “On quadratically enriched excess and residual intersections (Submitted),” n.d.
    Link to Item
- Book Sections
  - Kuhn, Nikolas, Devlin Mallory, Vaidehee Thatte, and Kirsten Wickelgren. “An explicit self-duality.” In Stacks Project Expository Collection (SPEC), edited by Pieter Belmans, Wei Ho, and Aise Johan de Jong, Vol. 480. Cambridge University Press, 2022.
  - Wickelgren, Kirsten, and Ben Williams. “Unstable Motivic Homotopy Theory.” In Handbook of Homotopy Theory. CRC Press, 2019.
    Link to Item
  - Kass, J. L., and K. Wickelgren. “An Étale realization which does NOT exist.” In Contemporary Mathematics, 707:11–29, 2018. https://doi.org/10.1090/conm/707/14251.
    Full Text
  - Wickelgren, K. “On 3-nilpotent obstructions to π1 sections for ℙ¹ℚ-{0,1,∞}.” In The Arithmetic of Fundamental Groups: PIA 2010, 281–328, 2012. https://doi.org/10.1007/978-3-642-23905-2_12.
    Full Text
- Conference Papers
  - Wickelgren, K. “Desuspensions of S ¹ Λ (P1/Q - {0, 1, ∞ }).” In International Journal of Mathematics, Vol. 27, 2016. https://doi.org/10.1142/S0129167X16400103.
    Full Text
  - Davis, R., R. Pries, V. Stojanoska, and K. Wickelgren. “Galois Action on the Homology of Fermat Curves,” 3:57–86, 2016. https://doi.org/10.1007/978-3-319-30976-7_3.
    Full Text
  - Bergner, J. E., R. Joachimi, K. Lesh, V. Stojanoska, and K. Wickelgren. “Fixed points of p-toral groups acting on partition complexes,” 641:83–96, 2015. https://doi.org/10.1090/conm/641/12860.
    Full Text
  - Wickelgren, Kirsten. “Cartier’s first theorem for Witt vectors on ℤ_{≥0}ⁿ-0,” 321–28. American Mathematical Society, 2014. https://doi.org/10.1090/conm/620/12396.
    Full Text
  - Wickelgren, Kirsten. “n-nilpotent obstructions to pi(1)sections of P-1 - {0, 1, infinity} and Massey products.” In Galois Teichmueller Theory and Arithmetic Geometry, edited by H. Nakamura, F. Pop, L. Schneps, and A. Tamagawa, 63:579–600. MATH SOC JAPAN, 2012.
    Link to Item
- Preprints
  - Bilu, Margaret, Wei Ho, Padmavathi Srinivasan, Isabel Vogt, and Kirsten Wickelgren. “Quadratic enrichment of the logarithmic derivative of the zeta function,” October 6, 2022.
    Link to Item
Teaching & Mentoring
Recent Courses
Advising & Mentoring
- I am currently advising Duke PhD students Cameron Darwin and Stephen McKean, and co-advising University of Pennsylvania PhD student Thomas Brazelton with Mona Merling. I am available to advise and mentor undergraduate, graduate, and Post-Doc mathematics researchers.
Scholarly, Clinical, & Service Activities
Presentations & Appearances
Outreach & Engaged Scholarship
Service to the Profession

Some information on this profile has been compiled automatically from Duke databases and external sources. (Our About page explains how this works.) If you see a problem with the information, please write to Scholars@Duke and let us know. We will reply promptly.

Education, Training, & Certifications

Awards & Honors

Selected Grants

Fellowships, Supported Research, & Other Grants

Selected Publications

Academic Articles

Book Sections

Conference Papers

Preprints

Recent Courses

Advising & Mentoring

Presentations & Appearances

Outreach & Engaged Scholarship

Service to the Profession