Research

Preprints

  1. Embedding codimension of the space of arcs, C. Chiu, T. de Fernex and R. Docampo, Submitted for publication. arXiv:2001.08377

Publications

  1. Nash blow-ups of jet schemes, T. de Fernex and R. Docampo, Ann. Inst. Fourier 69 (2019), no. 6, 2577–2588. arXiv:1712.00911
  2. Differentials on the arc space, T. de Fernex and R. Docampo, Duke Math. J., advance publication (12/12/2019). arXiv:1703.07505
  3. The arc space of the Grassmannian, R. Docampo and A. Nigro, Adv. Math. 306 (2017), 1269–1332. arXiv:1510.08833
  4. Terminal valuations and the Nash problem, T. de Fernex and R. Docampo, Invent. Math. 203 (2016), no. 1, 303–331. arXiv:1404.0762
  5. 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
  6. Jacobian discrepancies and rational singularities, T. de Fernex and R. Docampo, J. Eur. Math. Soc. 16 (2014), no. 1, 165–199. arXiv:1106.2172
  7. 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-2020-01-25.pdf

Citations

Google Scholar Profile

Teaching

Current teaching

Spring 2020 Calculus and Analytic Geometry II

Past teaching

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
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