Andrew Obus

Andrew reading math                          

University of Virginia
Department of Mathematics
Kerchof Hall, 141 Cabell Drive
Charlottesville, VA 22904

Email: obus@virginia.edu

Office Phone:  434-924-4930
Office: Kerchof 208  Office Hours: Tuesdays 11-12, Wednesdays 10-11


About Me: I am an assistant professor in the Department of Mathematics at the University of Virginia.  As you can see, I am also an artistic visionary in the field of web design.

Here is my CV.

Publications

1.  Ramification of primes in fields of moduli of three-point covers, Ph. D. Thesis (2009), supervised by David Harbater at the University of Pennsylvania (vii+135 pp.)
2. (with Rachel Pries) Wild tame-by-cyclic extensions, J. Pure Appl. Algebra, (5) 214 (2010), 565--573
3. Vanishing cycles and wild monodromy, Int. Math. Res. Notices (2012), 299--338
4. Fields of moduli of three-point G-covers with cyclic p-Sylow, I, Algebra Number Theory, 6, no. 5 (2012), 833--883
5. The (local) lifting problem for curves, Proceedings for Conferences in Kyoto "Galois-Teichmüller theory and Arithmetic Geometry" (2012), 359--412
6. Fields of moduli of three-point G-covers with cyclic p-Sylow, II, J. Théor. Nombres Bordeaux 25, no. 3 (2013), 579--633
7. Toward Abhyankar's inertia conjecture for PSL_2(\ell), Proceedings of the Luminy Meeting "Groupes de Galois géométriques et différentiels" (2013), 195--206
8. On Colmez's product formula for periods of CM-abelian varieties, Math. Ann. 356, no. 2 (2013), 401--418
9. Conductors of wild extensions of local fields, especially in mixed characteristic (0, 2), Proc. Amer. Math. Soc. 142 (2014), 1485--1495
10. (with Stefan Wewers) Cyclic extensions and the local lifting problem, Ann. of Math. 180, no. 1 (2014), 233--284
11. (with Colin Ingalls, Ekin Ozman, and Bianca Viray) Unramified Brauer Classes on cyclic covers of the projective plane (with an appendix by Hugh Thomas) (32 pp.), Proceedings of the AIM Workshop, "Brauer groups and obstruction problems: Moduli and arithmetic," to appear.
12. Good reduction of three-point Galois covers (15 pp.), submitted
13. (with David Harbater, Rachel Pries, and Kate Stevenson) Abhyankar's conjectures in Galois theory: Current status and future questions (44 pp.), Abhyankar Legacy Volume, to appear.
14. A generalization of the Oort conjecture (58 pp.), submitted
15. (with Stefan Wewers) Wild Ramification Kinks (29 pp.), submitted
16. The local lifting problem for A_4 (8 pp.), submitted


Current Teaching

Math 1320 (Calculus II)

Former Teaching

Math 2310 (Virginia, Spring 2016)
Math 8630 (Virginia, Spring 2016)
Math 4657 (Virginia, Fall 2015)
Math 3351 (Virginia, Spring 2015)
Math 5658 (Virginia, Fall 2014)
Math 8620 (Virginia, Fall 2014)

Math 7754 (Virginia, Spring 2014)
Math 3351 (Virginia, Fall 2013)
Math V2000 (Columbia, Spring 2011)
Math V2010 (Columbia, Spring 2011)
Math V1102 (Columbia, Fall 2009)
Math 240 (UPenn, Fall 2007)
Math 104 (UPenn, Summer 2007)
Math 603 (UPenn, Spring 2006)
Math 114 (UPenn, Fall 2005)
Math 412 (UPenn, Summer 2005)