Joaquín Moraga
I am an Instructor in Mathematics at Princeton University. My mentor is
János Kollár
. In May 2019, I finished my Ph.D in Mathematics at the University of Utah, under the advice of
Christopher Hacon
.
During Fall 2020 and Spring 2021, I am organizing the
Princeton Algebraic Geometry Seminar
together with
Chenyang Xu
.
During Fall 2020 and Spring 2021, I am organizing the
Princeton Algebraic Geometry Preprint Seminar
together with
David Villalobos Paz
.
Starting this Spring 2021, I am running a
Learning Seminar
on the
Minimal Model Program
.
This Spring 2021, I am teaching MAT 202,
Linear Algebra with Applications
.
Papers:
22. Iteration of Cox rings of klt singularities. (with
Lukas Braun
).
ArXiv:2103.13524
. Submitted.
21. Maximal log Fano manifolds are generalized Bott towers. (with
Konstantin Loginov
).
ArXiv:2012.00266
. Submitted.
20. Small quotient minimal log discrepancies.
ArXiv:2008.13311
. To appear in
Michigan Mathematical Journal
.
19. Kawamata log terminal singularities of full rank.
ArXiv:2007.10322
. Submitted.
18. Special termination for log canonical pairs. (with
Vladimir Lazić
and
Nikolaos Tsakanikas
).
ArXiv:2007.06458
. Submitted.
17. The Jordan property for local fundamental groups. (with
Lukas Braun
,
Stefano Filipazzi
and
Roberto Svaldi
).
Arxiv:2006.01253
. To appear in
Geometry and Topology
.
16. Fano type surfaces with large cyclic automorphisms.
ArXiv:2001.03797
. To appear in
Forum of Mathematics, Sigma
.
15. Extracting non-canonical places.
ArXiv:1911.00991
.
Advances in Mathematics
. 375 (2020) 107415, 12pp.
14. Log canonical 3-fold complements (with
Stefano Filipazzi
and
Yanning Xu
).
ArXiv:1909.10098
. Submitted.
13. Bounded deformations of (e,d)-log canonical singularities (with
Jihao Liu
and
Jingjun Han
).
ArXiv:1903.07202
.
Journal of Mathematical Sciences (Tokyo)
. Vol. 27 (2020), No. 1, Page 1-28.
12. A boundedness theorem for cone singularities.
ArXiv:1812.04670
. To appear in
Proceedings of the Edinburgh Mathematical Society
.
11. On minimal log discrepancies and Kollár components.
ArXiv:1810.10137
. To appear in
Manuscripta Mathematica
.
10. Strong (δ,n)-complements for semi-stable morphisms (with
Stefano Filipazzi
).
ArXiv:1810.01990
.
Documenta Mathematica
. 25, 1953-1996 (2020).
9. Regularity of structure sheaves of varieties with isolated singularities (with
Jinhyung Park
and
Lei Song
).
ArXiv:1808.09713
.
Communications in Contemporary Mathematics
. (2020) 2050039 (25 pages).
8. Cohen-Macaulay Du Bois singularities with a torus action of complexity one (with
Antonio Laface
and
Alvaro Liendo
).
ArXiv:1806.08311
.
7. On weak Zariski decompositions and termination of flips (with
Christopher Hacon
).
ArXiv:1805.01600
. To appear in
Mathematical Reseach Letters
.
6. Termination of pseudo-effective 4-fold flips.
ArXiv:1802.10202
. Submitted.
5. Fundamental group of log terminal T-varieties (with
Antonio Laface
and
Alvaro Liendo
).
ArXiv:1712.02172
.
European Journal of Mathematics
(2019), no. 3, 937-957.
4. Bounding singular surfaces via Chern numbers.
ArXiv:1705.00256
.
Mathematische Zeitschrift
. 295 (2020), no. 3-4, 1597-1614.
3. On a notion of toric special linear systems.
ArXiv:1512.09264
.
Journal of Pure and Applied Algebra
(2019), no. 8, 3225-3237.
2. On the topology of rational T-varieties of complexity one (with
Antonio Laface
and
Alvaro Liendo
).
ArXiv:1503.06023
.
Moscow Mathematical Journal
. 20 (2020), no. 2, 405-404.
1. Linear systems on the blow-up of (P^1)^n (with
Antonio Laface
).
ArXiv:1401.6692
.
Linear Algebra and its Applications
(2016), 52-67.
Links:
My CV
(updated Spring 2021).
Teaching
More about me
Contact Information:
Mailing address:
Princeton University
Fine Hall
Room 609
Princeton, New Jersey, 08540, USA.
Office:
Fine Hall 609.
e-mail:
jmoraga at math dot princeton dot edu.