Calvin F. Hotchkiss

Contact
Information

827 Patterson Office Tower
Lexington, KY 40506-0027

508-207-7970
hotchkiss@uky.edu

Teaching interests

Calculus, differential equations, pre-calculus, college algebra, linear algebra, statistics.

Academic Experience

University of Kentucky, Lexington KY

Teaching Postdoctoral Scholar

August 2022 – Present

University of Delaware, Newark DE

Temporary Assistant Professor

August 2018 – July 2022

Iowa State University, Ames IA

Lecturer

August 2017 – May 2018

Education

Iowa State University, Ames IA

Ph.D., Mathematics, August 2017

Thesis Topic: Fourier Bases on the Skewed Sierpinski Gasket.

Advisor: Eric Weber

Smith College, Northampton MA

Post-Baccalaureate, Mathematics, May 2012

Haverford College, Haverford PA

B.A., History, May 2006

Minor: Mathematics

Teaching
Experience

Instructor of Record:

Introduction to Contemporary Math, Fall 2022.

College Algebra, Summer 2014 and Fall 2022.

Analytical Geometry and Calculus B, Spring 2019, 2020, 2021 and 2022.

Calculus 1 (for social science and business), Fall 2018, Summer 2019, Fall 2019,
2020, 2021.

Analytical Geometry and Calculus C, Spring 2019 and Summer 2021.

Engineering Mathematics I (Linear Algebra and Differential Equations), Fall
2019, Spring 2020, and Spring 2021.

College Algebra and Statistics, Fall 2020 and Winter 2021.

Differential Equations, Summer 2017 and Spring 2019.

Applied Trigonometry, Fall 2017 and Spring 2018.

Calculus 1, Fall 2015, Spring 2016, and Spring 2018.

Calculus 2, Summer 2016.

Course Coordinator:

Analytical Geometry and Calculus B, Spring 2022.

Recitation Leader:

Pre-Calculus, Fall 2014, Spring 2015, and Fall 2017.

Calculus 2, Spring 2017.

Calculus 1, Fall 2012 and Fall 2016.

Calculus 3, Spring 2013.

Awards

Graduate College Teaching Excellence Award, Iowa State University, Fall 2016.

Mathematics Department Research Excellence Award, Iowa State University, 2016-17.

Publications

C. Hotchkiss and E.S. Weber, “A Fast Fourier Transform for Fractal Approximations.” Available: arXiv: 1607.03690 [math.FA]. In Excursions in Harmonic Analysis: the February Fourier Talks at the Norbert Wiener Center, Volume 5, 315–329, 2017.

Presentations

“Oral Exams, and Other Online Experiments.” Teaching Seminar, University of Delaware, Newark, DE, September 10, 2021.

“Engaging Students in Asynchronous Online Courses.” Teaching Seminar, University of Delaware, Newark, DE, October 23, 2020.

“Fourier Bases for Certain Fractal L2 Spaces.’” AMS Special Session on Fractal Geometry, Dynamical Systems, and Applications, Joint Math Meetings, Denver, CO, January 2020.

“Fourier Bases on the “Skewed Sierpinski Gasket.” AMS Contributed Paper Session on Sequences, Approximations, and Fourier Analysis, Joint Math Meetings, January 18, 2019.

“Fourier Bases on the ‘Skewed Sierpinski Gasket.’” Smooth and Non-Smooth Harmonic Analysis (S-NSHA) Symposium, Ames, IA, June 3, 2018.

“Hadamard Matrices and Orthonormal Bases.” Smooth and Non-Smooth Harmonic Analysis (S-NSHA) Bootcamp, Ames, IA, June 2, 2018.

“Fourier Bases on the ‘Skewed Sierpinski Gasket.’” 7th International Conference on Computational Harmonic Analysis, Nasheville, TN, May 15, 2018.

“Fourier Bases on the ‘Skewed Sierpinski Gasket.’” Poster. February Fourier Talks, College Park, MD, February 15, 2018

“Fourier Bases on the ‘Skewed Sierpinski Gasket.’” Special Session on Applied Harmonic Analysis: Frames, Samplings and Applications, III (last-minute replacement), AMS Fall Southeastern Sectional Meeting, Orlando, FL, September 24, 2017.

“Fourier Bases on the ‘Skewed Sierpinski Gasket.’” Poster. February Fourier Talks, College Park, MD, February 16, 2017.

“Fourier Bases on the ‘Skewed Sierpinski Gasket.’” AMS Session for Contributed Papers on Topics in Analysis, Joint Math Meetings, Atlanta, GA, January 6, 2017.

“Fourier Bases on the ‘Skewed Sierpinski Gasket.’” Iowa-Nebraska Functional Analysis Seminar, Des Moines, IA, November 5, 2016.

“Fourier Bases on the ‘Skewed Sierpinski Gasket.’” Analysis Seminar, Iowa State
University, Ames, IA, October 26, 2016.

“A Fast Fourier Transform for Fractal Approximations.” Special Session on Frames, Harmonic Analysis, and Operator Theory, IV, AMS Spring Central Sectional Meeting, Fargo, ND, April 17 2016.