1. On arc fibers of morphisms of schemes, C. Chiu, T. de Fernex and R. Docampo, Submitted for publication. arXiv:2206.08060


  1. 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
  2. Nash blow-ups of jet schemes, T. de Fernex and R. Docampo, Ann. Inst. Fourier 69 (2019), no. 6, 2577–2588. arXiv:1712.00911
  3. Differentials on the arc space, T. de Fernex and R. Docampo, Duke Math. J. 169 (2020), no. 2, 353–396. arXiv:1703.07505
  4. The arc space of the Grassmannian, R. Docampo and A. Nigro, Adv. Math. 306 (2017), 1269–1332. arXiv:1510.08833
  5. Terminal valuations and the Nash problem, T. de Fernex and R. Docampo, Invent. Math. 203 (2016), no. 1, 303–331. arXiv:1404.0762
  6. 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
  7. Jacobian discrepancies and rational singularities, T. de Fernex and R. Docampo, J. Eur. Math. Soc. 16 (2014), no. 1, 165–199. arXiv:1106.2172
  8. 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


Curriculum Vitæ



Google Scholar Profile


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


University of Oklahoma
Department of Mathematics
601 Elm Avenue, Room 423
Norman, OK 73019

Office: PHSC 1121