Publications and Talks

Peer-Reviewed Publications:

[12] J. Titensky, H. Jananthan, and J. Kepner. Uncertainty propagation in deep neural networks using extended kalman filtering. In 2018 IEEE MIT Undergraduate Research Technology Conference (URTC), Oct. 2018. Accepted, publication pending. (arxiv)

[11] K. Gravel, H. Jananthan, and J. Kepner. Visually representing the landscape of mathematical structures. In 2018 IEEE MIT Undergraduate Research Technology Conference  (URTC), Oct. 2018. Accepted, publication pending. (arxiv)

[10] J. Kepner, R. Brightwell, A. Edelman, V. Gadepally, H. Jananthan, M. Jones, S. Madden,
P. Michaleas, H. Okhravi, K. Pedretti, A. Reuther, T. Sterling, and M. Stonebraker. Tabularosa:
Tabular operating system architecture for massively parallel heterogeneous compute engines. In
2018 IEEE High Performance extreme Computing Conference (HPEC), pages 1–8, Sep. 2018. (arxiv) (source)

[9] J. Kepner, V. Gadepally, H. Jananthan, L. Milechin, and S. Samsi. Sparse deep neural network
exact solutions. In 2018 IEEE High Performance extreme Computing Conference (HPEC), pages 1–8, Sep. 2018. (arxiv) (source)

[8] J. Kepner and H. Jananthan. Mathematics of Big Data: Spreadsheets, Databases, Matrices, and Graphs. MIT Lincoln Laboratory Series. MIT Press, 2018. Forward by Charles E. Leiserson, XIII + 418 Pages. (MIT Press)

[7] J. Kepner, S. Samsi, W. Arcand, D. Bestor, B. Bergeron, T. Davis, V. Gadepally, M. Houle, M. Hubbell, H. Jananthan, M. Jones, A. Klein, P. Michaleas, R. Pearce, L. Milechin, J. Mullen, A. Prout, A. Rosa, G. Sanders, C. Yee, and A. Reuther. Design, generation, and validation of extreme scale power-law graphs. In 2018 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW), pages 279–286, May 2018. (arxiv) (source)

[6] H. Jananthan, Z. Zhou, V. Gadepally, D. Hutchison, S. Kim, and J. Kepner. Polystore mathematics of relational algebra. In 2017 IEEE International Conference on Big Data (Big Data), pages 3180–3189, Dec 2017. (arxiv) (source)

[5] H. Jananthan, S. Kim, and J. Kepner. Linear systems over join-blank algebras. In 2017 IEEE MIT Undergraduate Research Technology Conference (URTC), pages 1–4, Nov 2017. (arxiv) (source)

[4] H. Jananthan, K. Dibert, and J. Kepner. Constructing adjacency arrays from incidence arrays. In 2017 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW), pages 608–615, May 2017. (arxiv) (source)

[3] J. Kepner, V. Gadepally, D. Hutchison, H. Jananthan, T. Mattson, S. Samsi, and A. Reuther. Associative array model of sql, nosql, and newsql databases. In 2016 IEEE High Performance Extreme Computing Conference (HPEC), pages 1–9, Sep. 2016. (arxiv) (source)

[2] K. Dibert, H. Jansen, and J. Kepner. Algebraic conditions for generating accurate adjacency arrays. In 2015 IEEE MIT Undergraduate Research Technology Conference (URTC), pages 1–4, Nov 2015. (source)

[1] J. Kepner, J. Chaidez, V. Gadepally, and H. Jansen. Associative arrays; unified mathematics for spreadsheets, databases, matrices, and graphs. In 2015 New England Database Summit, Jan 2015. 4 pages. (arxiv) (source)

Conference Talks:

Posner-Robinson for Hyperjumps of Turing Degrees, presented at the 20th annual Graduate Student Conference in Logic, Spring 2019, hosted at the University of Illinois, Chicago (Slides)

Other Talks:

Posner-Robinson for Hyperjumps of Turing Degrees, presented at the Vanderbilt Mathematics Department Universal Algebra and Logic Seminar, Spring 2019 and at the Summer School in Logic at the National University of Singapore, Summer 2019 (Slides)

What’s Yellow and Equivalent to the Axiom of Choice?, presented at the Vanderbilt Undergraduate Seminar in Mathematics, Spring 2019 (slides)

This Title is False, presented at the Vanderbilt Undergraduate Seminar in Mathematics, Fall 2018 (slides)

The Limitations of Ruler-and-Compass Constructions, presented at the Vanderbilt Undergraduate Seminar in Mathematics, Spring 2018 (slides)

Weird Models, presented at the Pi Mu Epsilon Mathematics Honor Society Induction Ceremony, Fall 2017 (slides)

Hilbert’s Hotel and Cardinality, presented at the Vanderbilt Undergraduate Seminar in Mathematics, Fall 2017 (slides)

Computability and the Church-Turing Thesis, presented at the Vanderbilt Undergraduate Seminar in Mathematics, Spring 2017 (slides)

Constructing Adjacency Arrays from Incidence Arrays, presented at IEEE IPDPS 2017 Workshop on Graph Algorithm Building Blocks (slides)

The Axiom of Choice, presented at MIT Educational Studies Program’s Splash!, Fall 2015

Understanding Infinity: Ordinals and Cardinals, presented at MIT Educational Studies Program’s Splash!, Fall 2015

Elementary Introduction to Set Theory, presented at MIT Educational Studies Program’s Sprinkler!, Spring 2013

Arithmetic on Clocks: When 2+2=1, presented at MIT Educational Studies Program’s Sprinkler!, Spring 2013

Topological Oddities: Mobius Strips, Klein Bottles, and more, presented at MIT Educational Studies Program’s Sprinkler!, Spring 2013

The Size of the Natural Numbers and Other Infinities, presented at MIT Educational Studies Program’s Sprinkler!, Spring 2013

Quarks, Electrons, and More, presented at MIT Educational Studies Program’s Sprinkler!, Spring 2013

Intro to Set Theory, presented at MIT Educational Studies Program’s Splash!, Fall 2012