Jeremiah Heller

Email: jbheller AT illinois
Office: 362 Altgeld
Phone: (217) 265-0724

About me

I am an Assistant Professor in UIUC's Department of Mathematics.

My broad research interests are in homotopy theory and algebraic geometry, with a focus on applications of homotopy theory (classical, equivariant, and motivic) to the study of algebraic cycles and algebraic K-theory.

Papers

(Alternatively you can see a list of my papers on the arXiv here). 

On the thereom of the heart in negative K-theory.  w/ B. Antieau and D. Gepner.

Primes and fields in motivic homotopy theory.  w/ K. Ormsby.

Toplogical comparison theorems for Bredon motivic cohomology. w/ M. Voineagu and P.A. Østvær.

Motivic homotopy theory of group scheme actions. w/ A. Krishna, P. A. Østvær. To appear. Journal Of Topology, 8(4):1202-1236, 2015.

Galois equivariance and stable motivic homotopy theory.  w/ K. Ormsby. Trans Amer. Math. Soc., 368(11):8047-8077,2016.

Motivic strict ring spectra representing semi-topological cohomology theories. Homology, Homotopy, and Applications, 17(2):107-135.

Equivariant cycles and cancellation for motivic cohomology. w/ M. Voineagu and P. A. Østvær. Doc. Math. 20 (2015) 269-332.

Equivariant semi-topological K-homology and a theorem of Thomason. w/ J. Hornbostel. J. of K-Theory 12 (2013) no. 3, 493-549.

Remarks on filtrations of the homology of real varieties. w/ M. Voineagu. Doc. Math. 17 (2012), 641-661.

Equivariant algebraic cobordism. w/ J. Malagón López. J. Reine Angew. Math. (Crelle) 684 (2013), 87-112.

Equivariant semi-topological invariants, Atiyah's KR-theory, and real algebraic cycles. w/ M.Voineagu.  Trans Amer. Math. Soc. 364 (2012), no. 12, 6565-6603.

Vanishing theorems for real algebraic cycles. w/ M. Voineagu. Amer. J. Math 134 (2012), 649-709.


Teaching

Fall 2016: Math 347
Spring 2016: Math 402
Fall 2015: Math 213


Department of Mathematics
273 Altgeld Hall, MC-382
1409 W. Green Street, Urbana, IL 61801 USA
Telephone: (217) 333-3350    Fax: (217) 333-9576     Email: math@illinois.edu