Jack Dalton
Ph.D. Candidate
Columbia, SC
jrdalton@math.sc.edu
Sections
Keywords
Number Theory
Lattice Points
Covering Systems
About Me
Ph.D. Candidate in Mathematics
August 2017 - Current
I am working on a Ph.D. from the University of South Carolina in the Department of Mathematics. Professor Ognian "Oggie" Trifonov is my advisor in exploring covering systems, counting lattice points close to smooth curves, and applications to number theory.
Other Education
September 2002 - May 2017
- M.S. Mathematics (2017) - University of Vermont
- B.S. Mathematics (2006) - University of Massachusetts at Dartmouth
Current Teaching (Spring 2023)
Past Teaching
| Term | Class | Institution | Evaluation |
|---|---|---|---|
| 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
- More coming soon
- 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)