Jack Dalton
Teaching Postdoc
Boulder, CO
jack.dalton-1@colorado.edu
Sections
Keywords
Number Theory
Lattice Points
Covering Systems
About Me
Teaching Postdoc in Mathematics
August 2023 - Current
I am working as a teaching postdoc at the University of Colorado Boulder Department of Mathematics. At U of SC, professor Ognian "Oggie" Trifonov was my advisor in exploring covering systems, counting lattice points close to smooth curves, and applications to number theory.
Education
September 2002 - May 2023
- Ph.D. Mathematics (2023) - University of South Carolina
- M.S. Mathematics (2017) - University of Vermont
- B.S. Mathematics (2006) - University of Massachusetts at Dartmouth
Current Teaching (Spring 2026) *Coming Soon*
Past Teaching
| Term | Class | Institution | Evaluation |
|---|---|---|---|
| Fall 2025 | MATH 2300 Calculus II | CU | /5 |
| Fall 2025 | MATH 2300 Calculus II | CU | /5 |
| Fall 2025 | MATH 2400 Calculus III | CU | /5 |
| Summer 2025 | MATH 2300 Calculus II | CU | /5 |
| Spring 2025 | MATH 2300 Calculus II | CU | /5 |
| Spring 2025 | MATH 3510 Introduction to Probability and Statistics | CU | /5 |
| Fall 2024 | MATH 2300 Calculus II | CU | /5 |
| Fall 2024 | MATH 2300 Calculus II | CU | /5 |
| Summer 2024 | MATH 2300 Calculus II | CU | /5 |
| Spring 2024 | MATH 1300 Calculus I | CU | /5 |
| Spring 2024 | MATH 1300 Calculus I | CU | /5 |
| Spring 2024 | MATH 2300 Calculus I | CU | /5 |
| Fall 2023 | MATH 1300 Calculus I | CU | /5 |
| Fall 2023 | MATH 1300 Calculus II | CU | /5 |
| Fall 2023 | MATH 1300 Calculus II | CU | /5 |
| Spring 2023 | MATH 170 Finite Mathematics | U of SC | -/5 |
| Spring 2023 | MATH 141 Calculus I | U of SC | /5 |
| Fall 2022 | MATH 115 Precalculus | U of SC | 4.44/5 |
| Summer 2022 | MATH 122 Calculus for Business Administration and Social Sciences | U of SC (Online synchronous) | 3.99/5 |
| Spring 2022 | MATH 151 Calculus Workshop I | U of SC | 4.96/5 |
| Spring 2022 | MATH 152 Calculus Workshop II | U of SC | 4.33/5 |
| Fall 2021 | MATH 151 Calculus Workshop I | U of SC | 4.79/5 |
| Fall 2021 | MATH 152 Calculus Workshop II | U of SC | 4.85/5 |
| Summer 2021 | MATH 241 Vector Calculus | U of SC (Hybrid) | 3.87/5 |
| Spring 2021 | MATH 172 Mathematical Modeling for the Life Sciences | U of SC (Online synchronous) | 4.44/5 |
| Fall 2020 | MATH 116 Brief Precalculus Mathematics (two sections) | U of SC (Hybrid) | 3.00/5 and 3.25/5 |
| Summer 2020 | MATH 141 Calculus I | U of SC (Online asynchronous) | 4.12/5 |
| Spring 2020 | MATH 122 Business Calculus | U of SC (Hybrid) | 3.32/5 |
| Fall 2019 | MATH 111i Intensive Basic College Math | U of SC | 3.84/5 |
| Summer 2019 | MATH 241 Vector Calculus | U of SC | 4.29/5 |
| Spring 2019 | MATH 122 Business Calculus | U of SC | 4.3/5 |
| Fall 2018 | MATH 115 Precalculus | U of SC | 3.58/5 |
| Summer 2018 | MATH 344 Applied Linear Algebra | U of SC | 4.59/5 |
| Summer 2018 | MATH 344 Applied Linear Algebra Lab | U of SC | 4.51/5 |
| Spring 2018 | MATH 142 Calculus II (TA) | U of SC | 4.62/5 |
| Spring 2018 | MATH 142 Calculus II (TA) | U of SC | 4.44/5 |
| Fall 2017 | MATH 141 Calculus I (TA) | U of SC | 4.51/5 |
| Fall 2017 | MATH 141 Calculus I (TA) | U of SC | 4.15/5 |
| Spring 2017 | MATH 017 Applications of Finite Math | UVM | 3.4/5 |
| Fall 2016 | MATH 019 Fundamentals of Calculus I | UVM | 3.25/5 |
Research
- Jack Dalton and Nic Jones, On the intervals for the non-existence of covering systems with distinct moduli , arxiv link.
- Jack Dalton, Extreme Covering Systems, Primes Plus Squarefrees, and Lattice Points Close to a Helix (PhD Dissertation)
- Jack Dalton and Ognian Trifonov, Representing positive integers as a sum of a squarefree number and a small prime , arxiv link.
- Jack Dalton and Ognian Trifonov, Extreme Covering Systems , Journal of Integer Sequences, 25 (9), 2022.
- PANTS XXXIV Talk Slides on Open Problems in Covering Systems
- CTNT 2022 Conference Talk Slides on Extreme Covering Systems
- Jack Dalton, An Exposition of Selberg's Sieve (Master's Thesis)