Intro
Welcome to my personal webpage and thank you for visiting!
I just started my 5th and final year of the doctoral program in mathematics at LSU being co-advised by Oliver Dasbach and Shea Vela-Vick. I plan to graduate in May 2025. My career goal is to stay in academia, hopefully continuing research and teaching mathematics at the university level.
Education:
MS in Mathematics, May 2022, Louisiana State University, Baton Rouge, LA
MS in Mathematics, December 2018, Texas State University, San Marcos, TX
BS in Mathematics, May 2016, Texas State University, San Marcos, TX
Minor in Computer Science
Research
Preprints available on the arXiv
The Non-Orientable 4-Genus of Non-Alternating 11 Crossing Knots arXiv link
Non-Orientable 4-Genus of Torus Knots arXiv link
Masters Thesis
Using Knot Theory to Model and Analyze DNA Replication and Recombination
Mentored Undergraduate Research
Listed on the service tab, or click here
Invited Talks
Joint Mathematics Meetings at Seattle, WA: Non-Orientable Surfaces in Knot Traces
Math Colloquium (University of Nevada Reno): Non-Orientable 4-genus of Knots
Texas State University Topology Seminar: Non-Orientable Surfaces Bounded by Knots and the Knot Trace
AMS Sectional University of Albany: Non-Orientable Surfaces Bounded by Knots and the Knot Trace
Topology Students Workshop at Vanderbilt: Non-Orientable Surfaces in Knot Traces
AMS Sectional FSU: Non-Orientable 4-genus of Knots
Geometry and Topology Seminar (LSU): Non-Orientable 4 Genus of 11 Crossing Non-Alternating Knots
Slides from previous talks
Lightning Talk: Non-Orientable Surfaces in Knot Traces
20 min slide talk: Non-Orientable 4 Genus of Knots
Conferences Attended
- upcoming: Nebraska Conference for Undergraduate Women in Mathematics 2025
- upcoming: Joint Mathematics Meetings at Seattle, WA 2025
Talk Title: Non-Orientable Surfaces in Knot Traces
- upcoming: AMS Sectional University at Albany 2024
Talk Title: Non-Orientable Surfaces Bounded by Knots and the Knot Trace
- ICERM Braids Reunion Workshop 2024 - Brown University
- Topology Students Workshop 2024 - Vanderbilt University
Talk Title: Non-Orientable 4-Genus of Knots
- Topology Summer School & Conference 2024 - University of Georgia
Lightning Talk: Non-Orientable Surfaces in Knot Traces
- AMS Sectional 2024 - Florida State University
Talk Title: Non-Orientable 4-Genus of Knots
- Texas Geometry and Topology 2023 - Rice University
- SEC Topology 2024 - University of Alabama
- Topology Conference 2023 - University of Georgia
Course Projects
Brunnian Braids and Their Relation to Homotopy Groups of Spheres. Spring 2022.
The Betti Numbers of the Data Set of the Work of Bob Ross. Fall 2018
Analyzing Betti Numbers of Range Image Patches. Fall 2018.
Analyzing Betti Numbers of the Zodiac Constellations. Fall 2018.
The History of the Alexander Horned Sphere. Spring 2017.
The History of i , the Imaginary Number. Spring 2017.
The Eccentricity of Directed Graphs. Fall 2012.
Teaching
Lecturer - Texas State University
Co-Coordinator of Math 1316 (Contemporary Mathematics) Teaching Forum
Instructor - Contemporary Mathematics
Instructor - Co-Enroll Intermediate and College Algebra
Instructor - Co-Enroll Elementary Algebra and Contemporary Mathematics
Graduate Instructional Assistant - Louisiana State University
Instructor - Calculus I
Lead TA - Business Calculus
TA - Business Calculus
Graduate Instructional Assistant - Texas State University
Instructor - Intermediate Algebra
TA - Calculus II
TA - Pre-Calculus
Undergraduate Instructional Assistant - Texas State University
TA - Pre-Calculus
Tutoring
I have been tutoring mathematics since I was in high school, where I was also a classroom assistant. I have tutored math from the high school level, private tutored everything from graduate topology to college algebra, and worked in the mathematics tutoring lab at Texas State.
Helping others learn and understand mathematics has always been a passion of mine. A fun fact, I have wanted to be a math teacher since I was in the third grade!
Service
Mentor for Undergraduate Research
Topological Data Analysis - Fall 2024
Homological Algebra - Fall 2024
Intro to 3-Manifolds and Heegaard Diagrams - Fall 2024
Intro to Heegaard Floer Homology - Summer 2024
Non-Orientable 4 Genus of Torus Knots - Spring 2024
Seifert Surfaces and Knot Signatures - Spring 2024
Braids and Configuration Space - Fall 2023
(1, 1)-Knots and Heegaard Floer Homology - Spring 2023 and Fall 2022.
Curriculum Development
Co-Coordinator of Contemporary Mathematics, Texas State University
Re-structured syllabus, created course material currently being used.
Mentor for young graduate students
- I developed a website about the general exam study materials and preparation guide to help younger graduate students. The goal was for previous graduate students to share their experience and offer guidance in their specific field on what to study, foundational knowledge, and commonly asked questions.
We also have an advice colomn where older graduate students submitted advice (generic, motivational, or subject specific) to the younger generation.
Link: Preparing for the General Exam
- Mental Health Ally: panelist for 'Surviving Graduate School.' On the list of People to talk to about mental health issues, course issues, or really any issue in general.
- Topology Help: assist first year graduate students with studying for their qualifying exams, study help to all graduate students in topology, Rolfsen reviews held in my office, active recruiter for the VIR course.
Student Colloquium Committee
Officer: 2022-current
Website management for LSU Student Colloquium Committee website, calendar management, flyer creation/design
Organizer
Informal Topology and Geometry Seminar (LSU)
Graduate Students in 4 Dimensions and Less Seminar (LSU)
GEAUX Math LSU (new graduate student orientation)
T-shirt designer (see below for some of my designs)
Topology talk: "Brunnian Braids and Their Relation to Homotopy Groups of Spheres."
Qualifying Exam Preparation (Topology): introductory talk
Notes I have made to help other graduate students
Intro to HFK Homework
Introduction to Knot Concordance Notes
Introduction to Topological Spaces and Homology
University Participation
Department of Mathematics T-Shirt Design Winner (2018)
Three Minute Thesis 3MT
People's Choice Award (2018)
Math in the Picture - Texas State University: (winner 2017, 2018)
2017: Making Mandalas with Sine and Cosine Functions
2018: The Ammonite - Golden Ratio in Nature
Elements
Text
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This is underlined and this is code: for (;;) { ... }
. Finally, this is a link.
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Blockquote
Fringilla nisl. Donec accumsan interdum nisi, quis tincidunt felis sagittis eget tempus euismod. Vestibulum ante ipsum primis in faucibus vestibulum. Blandit adipiscing eu felis iaculis volutpat ac adipiscing accumsan faucibus. Vestibulum ante ipsum primis in faucibus lorem ipsum dolor sit amet nullam adipiscing eu felis.
Preformatted
i = 0;
while (!deck.isInOrder()) {
print 'Iteration ' + i;
deck.shuffle();
i++;
}
print 'It took ' + i + ' iterations to sort the deck.';
Lists
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- Dolor pulvinar etiam.
- Sagittis adipiscing.
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Alternate
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Ordered
- Dolor pulvinar etiam.
- Etiam vel felis viverra.
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Item One |
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29.99 |
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19.99 |
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19.99 |
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29.99 |
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Description |
Price |
Item One |
Ante turpis integer aliquet porttitor. |
29.99 |
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Vis ac commodo adipiscing arcu aliquet. |
19.99 |
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Morbi faucibus arcu accumsan lorem. |
29.99 |
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Vitae integer tempus condimentum. |
19.99 |
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Ante turpis integer aliquet porttitor. |
29.99 |
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100.00 |