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Eric Brussel, Professor

Ph.D., University of California, Los Angeles

Email: ebrussel(∂)calpoly⋅edu   

Office: 25-300 Phone: 756-2381


Research Interests: With E. Tengan, currently studying cyclicity in the Brauer group of an elliptic curve using duality theories for abelian varieties. It is well known that lines and conics (which have genus zero) have no interesting arithmetic beyond Galois theory, but that elliptic curves (which have genus one) are different. Our research is part of a broader program to investigate arithmetic dimensions of function fields of curves, partly in an attempt to find interesting counterexamples in the world of division algebras.

 

Schedule for Fall 2016

COURSE SECTION Time Location
Calculus III (Honors) 143-70 9:10-10:00am MTRF 38-226
Calculus III (Honors) 143-71 10:10-11:00am MTRF 38-226
Linear Analysis II 344-04 12:10-1:00pm MTRF 38-225
Office Hours all MR 2:10-3:00pm and
W 9:10am-10:00am
25-300 (M); Library (WR)

Selected Publication List — Some preprints are available on the arXiv

Research

Cyclic length in the tame Brauer group of the function field of a p-adic curve. (with K. McKinnie and E. Tengan)
Amer. J. Math., 138 (2016), no. 2, 251--286.
Formal constructions in the Brauer group of the function field of a p-adic curve. (with E. Tengan)
Trans. Amer. Math. Soc., 367 (2015), no. 5, 3299--3321.
Tame division algebras of prime period over function fields of p-adic curves. (with E. Tengan)
Israel J. Math., 201 (2014), no. 1, 361--371
Fixed points of the p-adic q-bracket.
Proc. Amer. Math. Soc, 140 (2012), no.5, 1501-1511.
Indecomposable and noncrossed product division algebras over function fields of smooth $p$-adic curves. (with K. McKinnie and E. Tengan)
Adv. in Math., 226 (2011), no. 5, 4316--4337.
Open problems on central simple algebras. (with A. Auel, R. Garibaldi, U. Vishne)
Transf. Groups. , 16 (2011), no. 1, 219--264.
On Saltman's p-adic curves papers.
In "Quadratic forms, linear algebraic groups, and cohomology. " Volume 18 of Dev. Math., pages 13--39. Springer, New York, 2010.
Bloch-Ogus sequence in degree two. (with E. Tengan)
Comm. Alg., 38 (2010), no. 11, 4175--4187.

Expository

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