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


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 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, Algebraic Geometry, 4, no. 2 (2017), 247--262.
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), Proceedings of the AIM Workshop, "Brauer groups and obstruction problems: Moduli and arithmetic" (2017), 115--153.
15. A generalization of the Oort conjecture, Comm. Math. Helv., 92, no. 3 (2017), 551--620.
16. (with David Harbater, Rachel Pries, and Kate Stevenson) Abhyankar's conjectures in Galois theory: Current status and future questions, Bull. Amer. Math. Soc., 55, no. 2 (2018), 239--287.
17. (with John Doyle, Holly Krieger, Rachel Pries, Simon Rubinstein-Salzedo, and Lloyd West) Reduction of dynatomic curves (47 pp.), Ergodic Theory Dynam. Systems, to appear.
18. Lifting of curves with automorphisms (43 pp.), Questions in Arithmetic Algebraic Geometry (F. Oort, ed.), to appear.
19. (with Hilaf Hasson) The abc conjecture implies the weak diversity conjecture (6 pp.), submitted.
20. (with Stefan Wewers) Explicit resolution of weak wild quotient singularities of arithmetic surfaces (30 pp.), preprint.


Current Teaching (Fall 2018)

TBA

Former Teaching

Math 3315 (Advanced Calculus and Linear Algebra II), Virginia, Spring 2018
Math 3351 (Linear Algebra), Virginia, Spring 2018
Math 2315 (Advanced Calculus and Linear Algebra I), Virginia, Fall 2017
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
 

Liberia


I sit on the board of the I-HELP Liberia Project and am involved in writing the LIberian Math Olympics contests.  I traveled to Liberia in the Summers of 2011, 2013, and 2017 with groups representing the organization to help run two-week STEM teacher training workshops.