Daniel Hathaway

Senior Lecturer, Department of Mathematics and Statistics

Daniel.Hathaway@uvm.edu
(802) 656-8121
Dan Hathaway
Daniel.Hathaway@uvm.edu
+18026568121

82 University Pl
Innovation Hall E311
Burlington, VT 05405
United States
Alma mater(s)
  • Ph.D., Mathematics, University of Michigan, 2015
  • M.S., Mathematics, Rensselaer Polytechnic Institute, 2010
  • B.S., Mathematics and Computer Science, Rensselaer Polytechnic Institute, 2010
Affiliated Department(s)

Department of Mathematics and Statistics

BIO

Daniel grew up in Richmond, Vermont and graduated from Mount Mansfield Union High School in 2005. He earned his bachelor's degree in Mathematics and Computer Science from RPI and remained an extra year to get his MS in Mathematics. Daniel received his PhD in Mathematics from the University of Michigan in 2015 where his thesis advisor was Andreas Blass. He spent 3 years as a Visiting Assistant Professor (Postdoc) at the University of Denver before joining UVM in August 2018.

 

 

Courses

  • MATH 1248 — Calculus II
  • MATH 2522 — Applied Linear Algebra
  • MATH 2468 — Real Analysis in One Variable


 

Bio

Daniel grew up in Richmond, Vermont and graduated from Mount Mansfield Union High School in 2005. He earned his bachelor's degree in Mathematics and Computer Science from RPI and remained an extra year to get his MS in Mathematics. Daniel received his PhD in Mathematics from the University of Michigan in 2015 where his thesis advisor was Andreas Blass. He spent 3 years as a Visiting Assistant Professor (Postdoc) at the University of Denver before joining UVM in August 2018.

 

 

Courses

  • MATH 1248 — Calculus II
  • MATH 2522 — Applied Linear Algebra
  • MATH 2468 — Real Analysis in One Variable


 

Selected Publications:

  1. “Applying Generic Coding with Help to Uniformizations”, The Annals of Pure and Applied Logic, 174 (2023), no. 4, 103244, ISSN 0168-0072.
  2. “Bounding 2D Functions by Products of 1D Functions” with Francois Dorais, Mathematical Logic Quarterly, 68 (2022), no 2,pp 202-212.
  3. "Generic Coding with Help and Amalgamation Failure” with Sy David Friedman, Journal of Symbolic Logic, 86 (2021), no 4,pp 1385-1395.
  4. “Classes of Barren Extensions” with Natasha Dobrinen, Journal of Symbolic Logic, 86 (2021), no 1, pp 178-209.
  5. “Perfect Tree Forcings for Singular Cardinals” with Natasha Dobrinen and Karel Prikry, Annals of Pure and Applied Logic, 171 (2020), no. 9, Article 102827.
  6. “Forcing and the Halpern-Lauchli Theorem” with Natasha Dobrinen, Journal of Symbolic Logic, 85(2020), no 1, pp 87-102.
  7. “Sacks Forcing and the Shrink Wrapping Property” with Osvaldo Guzman Gonzalez, Fundamenta Mathematicae, 248 (2020), no. 8, pp 33-47.
  8. “Ramsey Theory on Generalized Baire Space”, Topology and Its Applications, 235(2018), pp 104-112.
  9. “The Halpern-Lauchli Theorem at a Measurable Cardinal” with Natasha Dobrinen, Journal of Symbolic Logic, 82 (2017), pp 1560-1575.
  10. “Disjoint Borel Functions”, Annals of Pure and Applied Logic, 168 (2017), no.8, 1552-1563.
  11. “Weak Distributivity Implying Distributivity”, Journal of Symbolic Logic, 81 (2016), pp 711-717.
  12. “Combinatorics of Reductions Between Equivalence Relations” with Scott Schneider, Discrete Math. 338 (2015), no. 11, 2089-2094.
  13. “A Simple C*-algebra with Finite Nuclear Dimension which is Not Z-stable” with Ilijas Farah, Takeshi Katsura, and Aaron Tikuisis, Jan 2013, Munster Journal of Mathematics 7 (2014) no. 2, 515-528.
  14. “Continuity Induction”, College Mathematics Journal, May 2010.

Books:

  1. Universally Baire Book - This book is available for free download and can be used for a second course on set theory, independent study, and as a general reference.