Benjamin Antieau

Northwestern University
Department of Mathematics
Lunt Hall, Room 304
2033 Sheridan Road
Evanston, IL 60208

I am a professor at Northwestern. Here is my CV (20 August 2020). Chicago-area seminars: [UIC], [UC], [NU].

eAKTS. With Elden Elmanto, Akhil Mathew, and Maria Yakerson, I am organizing the electronic Algebraic K-Theory Seminar, beginning on 1 June 2020.

Other online seminars: MAGIC, ZAG, NU/UIC/UofC, eCHT, QFLAG, OATS, Warwick, RAMPAGE, MIT Topology.

Vitamin K1: Kerz–Strunk–Tamme. Elden Elmanto (NU), Jeremiah Heller (UIUC), and I are organizing a three-day workshop at UIC dedicated to understanding the proof of Weibel's conjecture on the vanishing of negative K-theory. It will take place 30 May to 1 June 2018 at UIC.

UIC Seminars: I organized the Algebraic K-Theory Seminar [AKTS] (previously the Homotopy Theory Seminar). In the fall of 2018, we had a seminar on perfectoid rings [18FOS]. One semester, I organized a Homotopy Algebras Seminar [HAS].

The Summer school on trace methods in algebraic K-theory was held at Indiana University the week of 7-11 August 2017.

The Winter 2015 Midwest Topology Seminar was held at UIC on 28 February 2015. See here for details.

Research Interests: Brauer groups, (derived) algebraic geometry, and K-theory.


Publications and Preprints:

  1. B. Antieau, A. Mathew, M. Morrow, and T. Nikolaus, On the Beilinson fiber square, submitted. [arxiv:2003].
  2. B. Antieau and B. Williams, The topological period-index conjecture, to appear in Mathematical Research Letters. [arxiv:2003].
  3. B. Antieau and R. Datta, Valuation rings are derived splinters, to appear in Math. Z. [arxiv:2002].
  4. B. Antieau and E. Elmanto, Descent for semiorthogonal decompositions, submitted. [arxiv:1912].
  5. B. Antieau, B. Bhatt, and A. Mathew, Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p, submitted. [arxiv:1909]. [Video].
  6. B. Antieau and D. Bragg, Derived invariants from topological Hochschild homology, submitted. [arxiv:1906].
  7. N. Addington, B. Antieau, S. Frei, and K. Honigs, Rational points and derived equivalence, submitted. [arxiv:1906].
  8. B. Antieau, On the uniqueness of infinity-categorical enhancements of triangulated categories, submitted. [arxiv:1812].
  9. B. Antieau and T. Nikolaus, Cartier modules and cyclotomic spectra, to appear in J. Amer. Math. Soc. [arxiv:1809].
  10. B. Antieau, Periodic cyclic homology and derived de Rham cohomology, Annals of K-Theory 4 (2019), no. 3, 505-519. [arxiv:1808].
  11. B. Antieau and G. Vezzosi, A remark on the Hochschild-Kostant-Rosenberg theorem in characteristic p, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) XX (2020), 1135-1145. [arxiv:1710]. [Video].
  12. B. Antieau, A. Mathew, and T. Nikolaus, On the Blumberg-Mandell Künneth theorem for TP, Selecta Mathematica, 24 (2018), no. 5, 4555-4576. [Selecta]. [arxiv:1710].
  13. B. Antieau and J. Heller, Some remarks on topological K-theory of dg categories, Proc. Amer. Math. Soc. 146 (2018), 4211-4219. [arxiv:1709].
  14. B. Antieau, A. Auel, C. Ingalls, D. Krashen, and M. Lieblich, Period-index bounds for arithmetic threefolds, Inventiones math. 216 (2019), no. 2, 301-335. [Inventiones]. [arxiv:1704].
  15. B. Antieau, D. Gepner, and J. Heller, K-theoretic obstructions to bounded t-structures, Inventiones math. 216 (2019), no. 1, 241-300. [Inventiones]. [arxiv:1610].
  16. B. Antieau and L. Meier, The Brauer group of the moduli stack of elliptic curves, Algebra & Number Theory 14 (2020), no. 9, 2295-2333. [arxiv:1608], [DOI].
  17. B. Antieau and E. Elmanto, A primer for unstable motivic homotopy theory, Surveys on Recent Developments in Algebraic Geometry, Proc. Sympos. Pure Math. 95 (2017), 305-370. [arxiv:1605].
  18. B. Antieau and B. Williams, Prime decomposition for the index of a Brauer class, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) XVII (2017), 277-285. [arxiv:1510].
  19. B. Antieau and G. Stevenson, Derived categories of representations of small categories over commutative noetherian rings, Pacific Journal of Mathematics 283 (2016), no. 1, 21-42. [arxiv:1507].
  20. B. Antieau, On the integral Tate conjecture for finite fields and representation theory, Algebraic Geometry 3 (2016), no. 2, 138-149. [arxiv:1504]. [c2.sage].
  21. B. Antieau, T. Barthel, and D. Gepner, On localization sequences in the algebraic K-theory of ring spectra, Journal of the European Mathematical Society 20 (2018), no. 2, 459-487. [arxiv:1412].
  22. B. Antieau and K. Chan, Maximal orders in unramified central simple algebras, Journal of Algebra 452 (2015), 94-105, [Journal of Algebra]. [arxiv:1412].
  23. B. Antieau, D. Krashen, and M. Ward, Derived categories of torsors for abelian schemes, Adv. Math. 306 (2017), 1-23, [Advances]. [arxiv:1409].
  24. B. Antieau and B. Williams, The prime divisors of the period and index of a Brauer class, J. Pure Apl. Alg. 219 (2015), no. 6, 2218-2224, [JPAA]. [arxiv:1403].
  25. B. Antieau and B. Williams, Topology and purity for torsors, Documenta Math. 20 (2015), 333-355, [Documenta]. [arxiv:1311].
  26. B. Antieau, Twisted derived equivalences for affine schemes, Brauer groups and obstruction problems (Palo Alto, 2013), Progress in mathematics, vol. 320, Birkhauser Basel, 2017, 7-12. [arxiv:1311].
  27. B. Antieau, A reconstruction theorem for abelian categories of twisted sheaves, J. reine angew. Math. 2016 (2016), no. 712, 175–188. [Crelle's]. [arxiv:1305].
  28. B. Antieau, A local-global principle for the telescope conjecture, Adv. Math. 254 (2014), 280-299, [Advances]. [arxiv:1304].
  29. B. Antieau, Etale twists in noncommutative algebraic geometry and the twisted Brauer space, Journal of Noncommutative Geometry 11 (2017), no. 1, 161-192. [arxiv:1211].
  30. B. Antieau and D. Gepner, Brauer groups and etale cohomology in derived algebraic geometry, Geometry & Topology 18 (2014), no. 2, 1149-1244. [G&T]. [arxiv:1210].
  31. B. Antieau and B. Williams, On the classification of oriented 3-plane bundles over a 6-complex, Topology and its Applications 173 (2014), 91-93. [arxiv:1209].
  32. B. Antieau and B. Williams, Unramified division algebras do not always contain Azumaya maximal orders, Inventiones math. 197 (2014), no. 1, 47-56. [Inventiones]. [arxiv:1209].
  33. B. Antieau and B. Williams, The topological period-index problem over 6-complexes, J. Top. 7 (2014), 617-640. [Journal of Topology]. [arxiv:1208].
  34. B. Antieau and B. Williams, Serre-Godeaux varieties and the etale index, Journal of K-theory 11 (2013), no. 2, 283-295. [arxiv:1205].
  35. B. Antieau, D. Gepner, and J. M. Gomez, Actions of K(pi,n) spaces on K-theory and the uniqueness of twisted K-theory, Trans. Amer. Math. Soc. 366 (2014), no. 7, 3631-3648. [Transactions]. [arxiv:1106].
  36. B. Antieau and B. Williams, The period-index problem for twisted topological K-theory, Geometry & Topology 18 (2014), no. 2, 1115-1148. [G&T]. [arxiv:1104].
  37. B. Antieau, On a theorem of Hazrat and Hoobler, Proc. Amer. Math. Soc. 141 (2013), no. 8, 2609-2613. [arxiv:1104].
  38. B. Antieau, A. Ovchinnikov, and D. Trushin, Galois theory of difference equations with periodic parameters, Comm. Alg. 42 (2014), no. 9, 3902-3943. [arxiv:1009].
  39. B. Antieau, Cech approximation to the Brown-Gersten spectral sequence, Homology, Homotopy and Applications 13 (2011), no. 1, 319-348. [arxiv:0912].
  40. B. Antieau, Cohomological obstruction theory for Brauer classes and the period-index problem, Journal of K-theory 8 (2011), no. 3, 419-435. [arxiv:0909].
  41. B. Antieau, The spectral index of Brauer classes, PhD thesis (2010), UIC. [pdf].

Notes, slides, and videos:
Future Conferences and Talks:
Recent Past Conferences and Talks: