Eric Brussel, Professor
Ph.D., University of California, Los Angeles
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
|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
|25-300 (M); Library (WR)|
Selected Publication List — Some preprints are available on the arXiv
|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.