Senior Lecturer

Mathematical Sciences Institute

Australian National University

Canberra, ACT 0200, Australia

Work: (61-2) 6125 0717

Fax: (61-2) 6125 4984

jarod

- Ph.D. in Mathematics, Stanford University, 2008.
- Sc.B with honors in Mathematics, Sc.B. in Computer Science, Brown University, 2002.

Curriculum Vitae

- A lower bound for the determinantal complexity of a hypersurface (with T. Bogart and M. Velasco), pdf.
- A Luna étale slice theorem for algebraic stacks (with J. Hall and D. Rydh), pdf.
- Log minimal model program for the moduli space of stable curves: The second flip (with M. Fedorchuk, D. Smyth and F. van der Wyck), pdf.
- Existence of good moduli spaces with applications to the log minimial model program for $\bar{M}_{g,n}$ (with M. Fedorchuk and D. Smyth), pdf.
- Projectivity of the moduli space of alpha-stable curves and the log minimial model program for $\bar{M}_{g,n}$ (with M. Fedorchuk and D. Smyth), pdf.
- Associated forms of binary quartics and ternary cubics (with A. Isaev and N.G. Kruzhilin), pdf.
- Associated forms and hypersurface singularities: The binary case (with A. Isaev), pdf.
- Equivariant versal deformations of semistable curves (with A. Kresch), pdf.
- Adequate moduli spaces and geometrically reductive group schemes,
pdf.

to appear in*Algebraic Geometry*. - Associated forms in classical invariant theory and their applications to hypersurface singularities
(with A. Isaev), pdf.

to appear in*Mathematische Annalen*. - Singularities with G_m-action and the log minimal model program for M_g
(with M. Fedorchuk and D. Smyth), pdf.

to appear in*Journal für die reine und angewandte Mathematik (Crelle's journal)*. -
Good moduli spaces for Artin stacks,
pdf.

*Annales de l'Institut Fourier*63 (2013), no. 6, 2349-2402. -
Invariant rings through categories (with J. de Jong),
pdf.

*Journal of Algebra*375 (2013), 235-257. -
Finite Hilbert stability of (bi)canonical curves
(with M. Fedorchuk and D. Smyth),
pdf.

*Inventiones mathematicae*191 (2013), no. 3, 671-718 (journal version). -
Common left- and right-hand divisors of a quaternion integer
(with M. Abouzaid, S. DiMauro, J. Grosslight, and D. Smith)
*Journal of Pure and Applied Algebra*27 (2013), no. 5, 779-785 (journal version). -
Recasting results in equivariant geometry:
affine cosets, observable subgroups, and existence of good quotients (with R. Easton),
pdf.

*Transformation Groups*17 (2012), no. 1, 1-20. - GIT Constructions of Log Canonical Models of M_g (with D. Hyeon),
pdf .

*Compact Moduli and Vector Bundles*, 87-106,*Contemporary mathematics*, 564, American Math Society, Providence, RI, 2012 (Proceedings of the 2010 conference at the University of Georgia, Athens) (journal version). -
Local properties of Artin stacks,
pdf.

*Tohoku Mathematical Journal*(2) 64 (2012), no. 1, 105-123. -
Computing invariants via slicing groupoids:
Gel'fand MacPherson, Gale and positive characteristic stable maps,
pdf.

*Mathematische Nachrichten*285 (2012), no. 5-6, 562-579. -
On the local quotient structure of Artin stacks,
pdf.

*Journal of Pure and Applied Algebra*214 (2010), no. 9, 1576-1591. -
On cosets of the unit loop of octonion integers,
(with M. Abouzaid, S. DiMauro, J. Grosslight and D. Smith).

*Communications in Algebra*35 (2007), no. 1, 207-214 (journal version). - On the choice of random directions for stochastic approximation algorithms,
(with J. Theiler).

*IEEE Trans. Automat. Control*51 (2006), no. 3, 476-481 (journal version).

- The moduli stack of semistable curves

*Oberwolfach Reports*, Report No. 6 (2013), 373-376 (journal version). - Birational models of M_g

*Oberwolfach Reports*, Report No. 30 (2012), 22-25 (journal version). - Good moduli spaces for Artin stacks

*Oberwolfach Reports*, Report No. 26 (2008), 14-16 (journal version).

- A guide to the literature on algebraic stacks, pdf.
- Fogarty's proof of the finite generation of certain subrings, pdf.

- Conference on Algebraic geometry and related fields at the Australian National University (with James Borger, Amnon Neeman, and David Smyth), May 29-31, 2013
- Workshop on
*Log minimal model program for moduli spaces*at the American Institute of Mathematics (AIM) (with Maksym Fedorchuk, Brendan Hassett, and David Smyth), December 10-14, 2012 *Moduli spaces and moduli stacks*at Columbia University from May 23-27, 2011 (with Johan de Jong, Brendan Hassett, Jason Starr, and Michael Thaddeus).

- Math 3345: Algebra 2 (Honors) -- Field Extensions and Galois Theory (Australian National University, Semester 1 2015)
- Math 1013 (Calculus component) (Australian National University, Semester 1 2013)
- Math 3346: Algebra 3 (Honors) -- Lie groups and algebras (Australian National University, Semester 2 2012)
- Algebraic curves (Universidad de los Andes, Spring 2012)
- Calculo diferencial (Universidad de los Andes, Spring 2012)
- Calculo diferencial (Universidad de los Andes, Fall 2011)
- Algebraic number theory (Columbia University, Fall 2010)
- Calculus III (Columbia University, Fall 2010)
- Calculus III (Columbia University, Fall 2008)