WELCOME
I am a mathematics and data science student at Missouri State University.
My work spans harmonic analysis, spectral theory, numerical analysis,
analytic number theory, combinatorics, and machine learning.
My current research includes Fourier-ratio problems on resistance spaces and arithmetic families,
low-lying zeros of cusp-form L-functions, VC-dimension questions in Hamming graphs,
distributed interpolation, nonlocal traffic-flow models, and Transformer architectures for
multivariate time-series forecasting.
● Projects
● Papers
● Talks
● CV (PDF)
RESEARCH INTERESTS:
Harmonic Analysis,
Spectral Theory,
Numerical Analysis,
Analytic Number Theory,
Combinatorics,
Graph Theory,
Machine Learning,
Scientific Computing.
RESEARCH PROJECTS:
- Geometric Combinatorics, Missouri State University (April 2023–December 2023). Advisor: Steven Senger.
Dot-product configurations determined by weighted trees in finite point sets.
- Discrete Harmonic Analysis, Missouri State University (January 2024–December 2024). Advisor: Steven Senger.
Finite-field HRT and structured time-frequency linear independence.
- Combinatorics & Graph Theory, Missouri State University (January 2025–December 2025). Advisor: Steven Senger.
VC-dimension in Hamming graphs and sharp combinatorial thresholds.
- Deep Learning, Missouri State University (January 2025–January 2026). Advisor: Yifan Zhang.
Transformer encoder/decoder ablations for multivariate time-series forecasting.
- Nonlocal Curvature, Missouri State University (January 2025–Present). Advisor: Animesh Biswas.
Nonlocal ordered mean curvature with singular kernels and moving-plane symmetry arguments.
- Numerical Analysis — Scalable Interpolation, Missouri State University (August 2025–Present). Advisor: Hazhar Rahmani.
Distributed interpolation under MapReduce and finite-recurrence reconstruction.
- Numerical Analysis — Nonlocal Traffic Flow, Missouri State University (August 2025–December 2025). Advisor: Animesh Biswas.
Adaptive spatial-temporal nonlocal traffic models with numerical and empirical validation.
- Cryptographic Functions, Missouri State University (January 2026–May 2026). Advisor: Steven Senger.
Bent-function rigidity and Fourier/root-of-unity methods over finite fields.
- Analytic Number Theory — SMALL REU, Williams College (June 2026–August 2026). Advisor: Steven J. Miller.
Low-lying zeros, lower-order terms in density statistics, and arithmetic Fourier behavior.
- Harmonic Analysis — SMALL REU, Williams College (June 2026–August 2026). Advisors: Alex Iosevich and Eyvindur Pálsson.
Fourier Ratio methods for reconstruction, sensor placement, resistance spaces, and arithmetic families.
- Probability Theory — SMALL REU, Williams College (June 2026–August 2026). Advisor: Steven J. Miller.
Random Fibonacci tilings, covering probabilities, tail bounds, and randomized spirals.
- Group Theory & Combinatorics — SMALL REU, Williams College (June 2026–August 2026). Advisor: Steven J. Miller.
Product- versus quotient-dominant subsets of finite groups.
PUBLICATIONS, PREPRINTS, & MANUSCRIPTS:
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Christopher L. Housholder, Layna Mangiapanello, and Steven Senger.
“VC-Dimension of Subsets of Hamming Graphs.”
Graphs and Combinatorics. Accepted for publication.
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Aaron Autry, Slade Gunter, Christopher Housholder, and Steven Senger.
“Bounds on Distinct and Repeated Dot Product Trees.”
CANT 2024. Published.
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Christopher Housholder, Xuantong Ning, Zelun He, and Yifan Zhang.
“Rethinking the Encoder-Decoder Structure for Transformer-Based Time Series Forecasting.”
Information Technology: New Generations (ITNG), Springer, 2026.
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Shaurya Agarwal, Animesh Biswas, Christopher Housholder, and Archie Huang.
“Spatial-Temporal Nonlocal Traffic Dynamics: Analytical Properties, Adaptive Kernel Formulation, and Empirical Validation.”
Submitted to IEEE Transactions on Intelligent Transportation Systems.
-
Christopher Housholder and Hazhar Rahmani.
“Scalable Interpolation under MapReduce via Finite-Recurrence Reconstruction.”
Preprint.
-
Lucas Chen, Christopher Housholder, Joshua Khan, Steven J. Miller, and Devayani Pradhan.
“Bounding the Number of Zeros Near the Central Point in Families of Cuspidal Newforms.”
Preprint,
arXiv:2608.15063.
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Christopher Housholder, Alex Iosevich, Steven J. Miller, and Eyvindur Pálsson.
“The Fourier Ratio on Resistance Spaces and Applications to Electrical Networks.”
Preprint.
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Yuval Amit, Lucas Chen, Christopher Housholder, Joshua Im, Alex Iosevich,
Steven J. Miller, Eyvindur Pálsson, and Devayani Pradhan.
“The Fourier Ratio of Elliptic, Hyperelliptic, and L-Function Families.”
Preprint.
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Nico Alberti, Christopher Housholder, Alex Iosevich, Steven J. Miller, and Eyvindur Pálsson.
“The Fourier Ratio and Sensitivity to Sensor Placement.”
Preprint.
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Yuval Amit, Lucas Chen, Lawrence Dillon, Christopher Housholder, Xiaoyao Huang,
Joshua Khan, Say-Yeon Kwon, Meiling Laurence, Steven J. Miller, Vishal Muthuvel,
Devayani Pradhan, Luke Rowen, Pramana Saldin, Connor Yau, and Steven Zanetti.
“Breaking Universality in the Lower Order Terms in the 1-level and 2-level Density of Holomorphic Cusp Newforms.”
Preprint.
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Christopher Housholder and Hazhar Rahmani.
“Scalable Interpolation under MapReduce and Finite-Recurrence Reconstruction.”
Preprint.
-
Yuval Amit, Lucas Chen, Christopher Housholder, Joshua Im, Joshua Khan,
Steven J. Miller, Mateo Palomares, and Devayani Pradhan.
“Product and Quotient Set Dominance in Finite Groups.”
Preprint.
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Yuval Amit, Azmera Gebre, Christopher Housholder, Joshua Khan, Steven J. Miller,
Emily Upton, and Connor Yau.
“Random Fibonacci Tilings.”
Preprint.
PRESENTATIONS:
- CNAS Undergraduate Research Symposium, Missouri State University (April 2026) — Scalable Interpolation under MapReduce via Finite-Recurrence Reconstruction. First Place in Computer Science.
- MAKO Undergraduate Mathematics Research Conference — VC-Dimension of Subsets of Hamming Graphs.
- 23rd International Conference on Information Technology: New Generations — Rethinking the Encoder–Decoder Structure for Transformer-Based Time Series Forecasting.
- 22nd International Conference on Fibonacci Numbers and Their Applications — Random Fibonacci Tilings.
- SUMRY Mini-conference — The Fourier Ratio and Sensitivity to Sensor Placement.
- Young Mathematicians Conference — The Fourier Ratio and Sensitivity to Sensor Placement.
EXPERIENCE & SERVICE:
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Chief Information Officer, Omni Manufacturing Inc. — Houston, TX, Jan. 2024–Present.
Internal software systems, data workflows, web presence, analytics infrastructure,
and customer-facing technical communication.
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Manuscript Referee — Journal of Number Theory and The Fibonacci Quarterly, 2026.
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President, Association for Computing Machinery, Missouri State University — Aug. 2025–Present.
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Secretary, Webster County 100 Club — Jan. 2023–Present.
AWARDS & HONORS:
- Dean's List — August 2022–May 2026.
- Chief of Staff, Williams College SMALL REU.
- Ed Huffman Mathematics Scholarship — 2024.
- 1st Place — CNAS Undergraduate Research Symposium, four times.
TECHNICAL SKILLS:
Computing:
Python, C++, Java, SQL, Linux, PyTorch, PySpark, NumPy/SciPy, MapReduce, Git, LaTeX.
Languages: English (fluent), Korean (conversational).
LINKS:
● Instagram
● LinkedIn
● Google Scholar
LAST UPDATED: September 13, 2026
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