Tatsunari Watanabe

Title
Associate Professor
Email
Department
Mathematics Department
College
College of Arts & Sciences

Office Hours

MWF: 11AM - 11:50AM, 2PM - 3PM, T: 10AM - 11:45AM

Areas of Expertise

Algebraic Geometry, Topology, Number Theory

Tatsunari Watanabe

Dr. Tatsunari Watanabe is an associate professor in the Department of Mathematics at the Prescott Campus. He regularly teaches a variety of courses, including calculus, linear algebra, differential equations and complex variables.

Dr. Watanabe holds a Ph.D. in Mathematics from Duke University. Before joining Embry-Riddle, he served as a Golomb assistant professor at Purdue University, where he conducted research in algebraic geometry, focusing on topological surfaces of genus two and utilizing various mathematical tools across multiple areas.

Dr. Watanabe’s research interests span algebraic geometry, differential geometry, topology, and number theory. His work focuses on systems of polynomial equations, particularly Diophantine problems, which are fundamental in modern cryptography. His research emphasizes understanding the geometric properties of these equations and their relationship with integer solutions, utilizing interdisciplinary techniques from algebraic geometry, topology and group theory.

At Embry-Riddle, Dr. Watanabe continues to study the geometric properties of systems of polynomial equations, particularly those involving complex variables, with applications across various scientific disciplines.

His dedication to teaching excellence earned him the College of Arts and Sciences Teacher of the Year Award in 2023. Beyond his academic role, Dr. Watanabe actively contributes to the mathematical community as a reviewer for Mathematical Reviews by the American Mathematical Society. Since 2019, he has also served as the faculty advisor for the soccer club at the Prescott campus, actively participating in weekly sessions and promoting student engagement through extracurricular activities.

  • Ph.D. - Doctor of Philosophy in Mathematics, Duke University
  • B.A. - Bachelor of Arts in Mathematics, University of California-Berkeley
  • A.S. - Associate of Science in Mathematics, Foothill College
  • MA 242: Calculus & Analytical Geom II
  • MA 243: Calculus & Analytical Geom III
  • MA 443: Complex Variables
  • MA 345: Diff Equations & Matrix Method
  • MA 335: Intro Linear/Abstract Algebra
  • MA 441: Math Methods Engr & Physics I
  • MA 499: Special Topics in Mathematics
  • MA 399: Special Topics in Mathematics

Preprints:

  1. M. Luo, T. Watanabe, On the Birman exact sequence of the subgroups of the mapping class group of genus three, arXiv:2502.14343 [math.AT]
  2. T. Watanabe, Remarks on the Sections of Universal Hyperelliptic Curves,
    arXiv:2306.06278 [math.AG]


Published Papers:

  1. T. Watanabe, Nonabelian Cohomology of Universal Curves in Positive Characteristic, Proc. Amer. Math. Soc. 152 (2024), no. 1, 89–103, https://doi.org/10.1090/proc/16542.
  2. M. Luo, T. Watanabe, Remarks on Collino Cycles and Hyperelliptic Johnson Homomorphisms, J. Algebra, Volume 649 (2024), 96-132, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2024.02.038.
  3.  T. Watanabe, Remarks on Rational Points of Universal Curves. Proc. Amer. Math. Soc. 148 (2020),no. 9, 3761–3773, DOI 10.1090/proc/15008. MR4127823.

  4. T. Watanabe, On the Sections of Universal Hyperelliptic Curves, J. Algebra Volume 533 (2019), 44–89, DOI 10.1016/j.jalgebra.2019.05.023. MR3961806.

  5. T. Watanabe, Rational Points of Universal Curves in Positive Characteristics, Trans. Amer. Math. Soc. 372 (2019), no. 11, 7639–7676, DOI 10.1090/tran/7842. MR4029677.

  6. T. Watanabe, On the Completion of the Mapping Class Group of Genus Two, J. Algebra, Volume 501 (2018), 303-327.


Conference Papers:

  1. T. Watanabe, On the hyperelliptic Birman exact sequence, Proceedings of the 10th Exchange of Mathematical Ideas, 2024
  2. T. Watanabe, The Birman exact sequence for the hyperelliptic mapping class group, RIMS Kokyuroku No. 2291-02, 2024.
  3. T. Watanabe, The Geometry of the Hyperelliptic Torelli Group, Proceedings of the 9th Exchange of Mathematical Ideas, 2023
  4. T. Watanabe, The Geometry of the Mapping Class Group, Proceedings of the 8th Exchange of Mathematical Ideas, 2023.


  1. Golomb Visiting Assistant Professor of Mathematics,  Purdue University, 08/2015 – 05/2018
  1. AMS
  2. MAA
  1. College of Arts and Sciences Teacher of the Year Award, ERAU-Prescott, 2023
  2. College of Arts and Sciences Commencement Class Marshal, ERAU-Prescott, Spring 2022
  3. Dorothea Klumpke Roberts Prize, University of California, Berkeley, 2009
  4. Highest Honors, University of California, Berkeley, 2009
  5. Phi Beta Kappa, University of California, Berkeley, 2009