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 (ON LEAVE 2016-17, Office: Warren Weaver Hall 613, Courant Institute)


About Me: I am an assistant professor in the Department of Mathematics at the University of Virginia.  For the academic year 2016-17, I am on leave at the Courant Institute.  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 Stefan Wewers) Wild Ramification Kinks, Res. Math. Sci., 3:21 (2016), 27 pp.
12. The local lifting problem for A_4, Algebra Number Theory, 10, no. 8 (2016), 1683--1693.
13. Good reduction of three-point Galois covers (16 pp.), Algebraic Geometry, to appear.
14. (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.
15. (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.
16. A generalization of the Oort conjecture (58 pp.), Comm. Math. Helv., to appear.


Current Teaching

None

Former Teaching

Math 1320 (Calculus II), Virginia, Summer 2016
Math 2310 (Calculus III), Virginia, Spring 2016
Math 8630 (Algebraic Number Theory), Virginia, Spring 2016
Math 4657 (Bilinear Forms and Representation Theory), Virginia, Fall 2015
Math 3351 (Linear Algebra), Virginia, Spring 2015
Math 5658 (Galois Theory), Virginia, Fall 2014
Math 8620 (Algebraic Geometry), Virginia, Fall 2014

Math 7754 (Commutative Algebra), Virginia, Spring 2014
Math 3351 (Linear Algebra), Virginia, Fall 2013
Math V2000 (Intro to Higher Math), Columbia, Spring 2011
Math V2010 (Linear Algebra), Columbia, Spring 2011
Math V1102 (Calculus II), Columbia, Fall 2009
Math 104 (Calculus I), UPenn, Summer 2007
Math 412 (Advanced Linear Algebra), UPenn, Summer 2005