Roi
Docampo
Álvarez
Research
Preprints
On arc fibers of morphisms of schemes
, C. Chiu, T. de Fernex and R. Docampo, Submitted for publication. arXiv:2206.08060
Publications
Embedding codimension of the space of arcs
, C. Chiu, T. de Fernex and R. Docampo, Forum of Mathematics, Pi,
10
(2022), Paper No. e4, 37 pp. arXiv:2001.08377
Nash blow-ups of jet schemes
, T. de Fernex and R. Docampo, Ann. Inst. Fourier
69
(2019), no. 6, 2577–2588. arXiv:1712.00911
Differentials on the arc space
, T. de Fernex and R. Docampo, Duke Math. J.
169
(2020), no. 2, 353–396. arXiv:1703.07505
The arc space of the Grassmannian
, R. Docampo and A. Nigro, Adv. Math.
306
(2017), 1269–1332. arXiv:1510.08833
Terminal valuations and the Nash problem
, T. de Fernex and R. Docampo, Invent. Math.
203
(2016), no. 1, 303–331. arXiv:1404.0762
Comparing multiplier ideals to test ideals on numerically Q-Gorenstein varieties
, T. de Fernex, R. Docampo, S. Takagi, and K. Tucker, Bull. Lond. Math. Soc.
47
(2015), no. 2, 359–369. arXiv:1401.7946
Jacobian discrepancies and rational singularities
, T. de Fernex and R. Docampo, J. Eur. Math. Soc.
16
(2014), no. 1, 165–199. arXiv:1106.2172
Arcs on determinantal varieties
, R. Docampo, Trans. Amer. Math. Soc.
365
(2013), no. 5, 2241–2269. arXiv:1011.1930
List of my articles on the arXiv
PhD Thesis
thesis-roi-docampo.pdf
Curriculum Vitæ
roi-docampo-cv-2022-07-04.pdf
Citations
Google Scholar Profile
Teaching
Current teaching
I am not teaching any course at the moment.
Past teaching
Spring 2022
Introduction to Abstract Algebra II
Introduction to Topology
Graduate Algebra Literacy Course — p-adic and Motivic Integration
Fall 2021
Introduction to Abstract Algebra I
Calculus and Analytic Geometry III
Spring 2021
Applied Modern Algebra
Graduate Algebra Literacy Course — Singularities and Links
Fall 2020
Graph Theory
Introduction to Number Theory
Spring 2020
Calculus and Analytic Geometry II
Fall 2019
Senior Mathematics Seminar
Commutative Algebra
Fall 2018
Differential and Integral Calculus II
Abstract Algebra I
Spring 2018
Algebraic Geometry and Commutative Algebra II
Fall 2017
Discrete Math Structures
Algebraic Geometry and Commutative Algebra I
Spring 2017
Differential and Integral Calculus II
Graduate Algebra Literacy Course — Invariant Theory
Fall 2016
Linear Algebra I
Spring 2012
Foundations of Analysis II
Fall 2011
Foundations of Analysis II
Spring 2011
PDE's for Engineers
Special Topics in Algebraic Geometry
Fall 2010
Complex Variables
Spring 2010
Calculus II
Fall 2009
Calculus I
Contact
roi@ou.edu
University of Oklahoma
Department of Mathematics
601 Elm Avenue, Room 423
Norman, OK 73019
Office: PHSC 1121