University of Massachusetts at Amherst
Department of Mathematics and Statistics
Jenia Tevelev
Phone
(413) 545-2856
Office
LGRT 1235E
Office Hours
TuW 2:30-4:00
Seminars
Valley Geometry Seminar
(F 4pm)
Reading Seminar in Algebraic Geometry
(M 3pm)
AGNES - Algebraic Geometry NorthEastern Series
Teaching Fall 2017
Affine and Projective Geometry
Travel 2017-2018
Oct 4. Storrs, CT
AS
► Oct 13-15. Boston
AGNES
► Dec 14-18. Moscow
Vinberg-80
Texts
[27]
Derived category of moduli of pointed curves - I,
with
Ana-Maria
, 70 p. (2017), arXiv:1708.06340
[26]
The Craighero-Gattazzo surface is simply-connected,
with
Julie
and
Giancarlo
, Compositio,
153
(2017), 557--585
[25]
Flipping Surfaces
, with
Paul
and
Giancarlo
, Journal of Algebraic Geometry,
26
(2017), 279-345
[24]
M
_{0,n}
is not a Mori Dream Space
, with
Ana-Maria
, Duke Math. Journal,
164
, no. 8 (2015), 1641-1667
[23]
On a Question of Teissier
, Collectanea Math.,
65
, no. 1 (2014), 61-66
[22]
Hypertrees, Projections, and Moduli of Stable Rational Curves
, with
Ana-Maria
, Crelle's Journal,
675
(2013), 121-180
[21]
Rigid Curves on
M
_{0,n}
and Arithmetic Breaks
, with
Ana-Maria
, Contemporary Math.,
564
(2012), 19-67
[20]
Stable Pair, Tropical, and Log Canonical Compact Moduli of Del Pezzo Surfaces,
with
Paul
and
Sean
, Inventiones Math.
178
, no.1 (2009), 173-228
[19]
Equations for
M
_{0,n}
, with
Sean
, International Journal of Math.
20
, no.9 (2009), 1--26
[18]
Exceptional Loci on
M
_{0,n}
and Hypergraph Curves
, with
Ana-Maria
, 39p (2008), arXiv:0809.1699
[17]
Elimination Theory for Tropical Varieties,
with
Bernd
, Math. Research Letters
15
, no.3 (2008), 543-562
[16]
The Newton Polytope of the Implicit Equation,
with
Bernd
and
Josephine
, Moscow Math. Journal
7
, no.2 (2007), 327-346
[15]
Compactifications of Subvarieties of Tori,
American Journal of Math.
129
, no. 4 (2007), 1087-1104
[14]
Compactification of the Moduli Space of Hyperplane Arrangements,
with
Paul
and
Sean
, Journal of Algebraic Geometry
15
(2006), 657-680
[13]
Hilbert's 14-th Problem and Cox Rings,
with
Ana-Maria
, Compositio
142
(2006), 1479-1498
[12]
Geometry of Chow Quotients of Grassmannians,
with
Sean
, Duke Math. Journal
134
, no. 2 (2006), 259-311
[11]
Projective Duality and Homogeneous Spaces
, Springer 2005
[10]
Hermitian characteristics of nilpotent elements,
Encyclopaedia Math. Sci., Springer (2004),
132
, 177-206
[9]
Self-dual projective algebraic varieties associated with symmetric spaces,
with
Vladimir
, Encyclopaedia Math. Sci., Springer (2004),
132
, 131-167
[8]
Moore-Penrose inverse, parabolic subgroups, and Jordan pairs,
Journal of Lie Theory
12
(2002), no. 2, 461-481
[7]
Isotropic subspaces of polylinear forms,
Math. Notes
69
(2001), no. 5-6, 845-852
[6]
Invariant linear connections on homogeneous symplectic varieties
,
with Sergei, Transformation Groups
6
(2001), no. 2, 193-198
[5]
On the Chevalley restriction theorem,
Journal of Lie Theory
10
(2000), no. 2, 323-330
[4]
Subalgebras and discriminants of anticommutative algebras,
Izvestia Math.
63
(1999), no. 3, 583-595
[3]
Discriminants and quasi-derivations of commutative algebras,
Russian Math. Surveys
54
(1999), no. 2, 457-458
[2]
Generic algebras,
Transformation Groups
1
(1996), no. 1-2, 127-151
[1]
Unstable linear actions of connected semisimple complex algebraic groups,
with Seva, Sbornik Math.
186
(1995), no. 1, 107-119
Grants, awards
2007.
Sloan Research Fellowship
2009. UMass
Research Leadership in Action
grant
2009-2016. NSF conference grants DMS-0963853, DMS-1064426, DMS-1360543
AGNES. Algebraic Geometry NorthEastern Series
2007-2010.
NSF
standard grant DMS-0701191, DMS-0827994 (REU supplement)
Geometry of Compact Moduli Spaces
2010-2013. NSF standard grant DMS-1001344
Geometry of Moduli Spaces of Curves and Surfaces
2013-2017. NSF standard grant DMS-1303415, DMS-1539510 (REU supplement)
Moduli Spaces of Curves and Surfaces
2017-2020. NSF standard grant DMS-1701704
Moduli Spaces: New Directions
Letters of recommendation
I follow
Ravi Vakil's rules
. Please read them if you want me to write you a letter.
Postdocs
Ana-Maria Castravet
→ Northeastern University
Giancarlo Urzua
→ Pontificia Universidad Catolica de Chile
Graduate students
Julie Rana
→ University of Minnesota.
A boundary divisor in the moduli space of stable quintic surfaces
, 58p. (2014), arxiv:1407.7148
Tassos Vogiannou
→ Hebrew University of Jerusalem.
Spherical tropicalization
, 49p. (2015), arxiv: 1511.02203
Arie Stern Gonzalez
Sebastian Torres
Capstone Thesis and REU students
Alex Levin
→ University of Vermont. The dual complex of the Naruki space of cubic surfaces (see [20]) is shellable.
Ilya Scheidwasser
→ Northeastern. Combinatorics of hypertrees (see [22]).
Capstone thesis
.
C++ program
that found all hypertrees with
7
,
8
,
9
,
10
, and
11
vertices.
Charles Boyd. Craighero-Gattazzo surface (see [26]).
Nate Harman
→ MIT. Combinatorics of hypertrees (see [22]).
Nicky Reyes
→ UT Austin. Extremal P-resolutions (see Section 4 of [24]).
Morgan Opie
→ Harvard. A
database
of hypertree divisors.
Extremal divisors on moduli spaces of rational curves with marked points
, 23p. (2013), arxiv:1309.7229
Stephen Obinna → Brown. Blow-ups of toric surfaces (see [25]).
The database
of toric surfaces of Picard number 2 with curves of high multiplicity.
Shelby Cox. Log canonical models of hyperplane arrangement complements.
Greg McGrath. Seshadri constants on irrational surfaces.
Old teaching links with lecture notes, problem sheets, etc.
Graduate Algebra 611-612 (2009/2010, 2012/2013, Spring 2016)
History of Mathematics 475 (Spring 2014, 2016, 2017)
Multivariable Calculus Honors (Spring 2014, Fall 2015, Spring 2017)
Mathematical Gems 391A (Spring 2015)
Problem Solving Seminar / Putnam Exam workshop (2007-2011, 2014)
Homological Methods 797 (Spring 2012)
Moduli Spaces and Invariant Theory 797 (Spring 2011, Spring 2017)
Editorial boards
Transformation Groups
Pre-Columbian textiles
Apart from algebraic geometry, I like to weave, to study geometry of pre-Columbian textiles, and to trek, especially in the
Andes
.