I am an NSF Mathematical Sciences Graduate Research Fellow, UCR Chancellor Distinguished Fellow, Caltech SURF Fellow, Institute for Advanced Study Women and Mathematics Ambassador, Associate Member of the Sigma Xi Scientific Research Honor Society, USC CUE & CETL Faculty Equity Fellow, and Mellon Foundation grantee.
Research Interests Arithmetic Geometry, Complex Fractal Dimensions
Professional Appointments I am a mathematics lecturer at California State University Los Angeles. I am an Assistant Professor at ArtCenter College of Design in Pasadena, California.
National and Institute Committees I am the Section Chair of the Southern California-Nevada Section of the MAA, President of the AWM Chapter at UCR, Member at Large of the AMS Committee on Meetings and Conferences, Co-Organizer of the SLMath (formerly MSRI) May 12th Celebration of Women in Mathematics, and Member of the 2024 Scientific Advisory Board at the Active Inference Institute. I am the Former Chair of the AWM-MAA Liaison Committee, former MathFest Committee Member, and former SIGMAA MAA Committee Member. I am Co-Chair of the Faculty Council Committee at ArtCenter College of Design, and the Co-Creator and Co-Director of the Faculty Institute at ArtCenter College of Design.
Pedagogy and Scholarship I am a strong advocate of multimodal learning, UDL, and making mathematics instruction universally accessible to all learners in a way that compliments their unique life circumstances, at the undergraduate and graduate level.
MathArt I am the creator of a new AWM Research Network called Women, Art, and Mathematics (WAAM). The aim of the network is to amplify variations in mathematical thinking, and highlight research and pedagogy at the intersections of mathematics and the arts.
I explore creativity and innovation in the scholarship of teaching and learning. I survey the intersections of mathematics and continental philosophy, and the intersections of mathematics and the arts, primarily the literary arts.
Selected Articles/Preprints
S. Dobson, A Comprehensive Review of Diamonds and Their Use in the Langlands Program, 2024. In review.
S. Dobson, Mathematical Clerihews, Mathematical Graffiti: Bridges 2023 Clerihew Collection: Journal of Humanistic Mathematics, 2024. In press.
S. Dobson, E.R. Lutken, To Look on Beauty Bare: Mathematics as Metaphor in Poetry, 2024. In review.
John Cullinan, Shanna Dobson, Linda Frey, Asimina Hamakiotes, Roberto Hernandez, Nathan Kaplan, Jorge Mello, and Gabrielle Scullard. The Probability of Non-Isomorphic Group Structures of Isogenous Elliptic Curves in Finite Field Extensions, II. arXiv:2401.06250 [math.NT] 2023.
S. Dobson, Constructing Agentive Inference as a Universal property: Strange Functorial Things and Categorical Red Queen Dynamics: Comment on “Path integrals, particular kinds, and strange things” by K. Friston, L. Da Costa, D. Sakthivadivel, C. Heins, G. Pavliotis, M. Ramstead, and T. Parr, Physics of Life Reviews, 2023, ISSN 1571-0645, https://doi.org/10.1016/j.plrev.2023.10.032, 2023.
Dobson, Shanna, and Fields, Chris, Constructing Condensed Memories in Functorial Time, Journal of Experimental & Theoretical Artificial Intelligence, DOI: 10.1080/0952813X.2023.222237, 2023.
Dobson, Shanna, Literary Incarnations of Topology, Cross-Curricular Pure Math Applications, MAA Notes, 2023. In press.
Dobson, Shanna, and Scaff, Julian, Qurio: Meta-Learning Curiosity Algorithm and Agentive AI Tutor, AWM Springer Series: Women in MathArt, Springer Nature, 2023. In press
Dobson, Shanna, and Prentner, Robert, Artistic Mediation in Mathematical Phenomenology, AWM Springer Series: Women in MathArt, Springer Nature, 2023. In press
Dobson, Shanna, and Scaff, Julian, Quantum Intrinsic Curiosity Algorithms, https://philarchive.org/rec/DOBQIC, 2023.
Dobson, Shanna, and Fields, Chris, Making Up Our Minds: Imaginative Deconstruction in MathArt, 1920 – Present, AWM Springer Series: Women in MathArt, Springer Nature, 2022. In press
Dobson, Shanna, Efimov K-theory of Diamonds, 3rd BYMAT Conference Proceedings, TEMat Monograficos ISBN 2660-6003, 2021.
Dobson, Shanna, Sophie Germain: Revolutionary Mathematician, AWM Book Review, November 2021.
Dobson, Shanna, and Spruijt, Gershom, Imagination as Mathematics, AWM Springer Series: Women in MathArt, Springer Nature, 2021. In press
Dobson, Shanna, Curating Metacognitive Conversations to Address Imposter Syndrome, Read to Learn Cal State LA Practitioner Perspectives, May 22, 2021, https://readtolearn.calstate.edu/practitioner-perspectives.
Dobson, Shanna and Prentner, Robert, Perfectoid Diamonds and n-Awareness. A Meta-Model of Subjective Experience, arXiv:2102.07620 [math.GM], 2021.
Selected Talks
Functorial Harp and 2-Category of Complex Dimensions, Fractal Analysis & Mathematical Physics Seminar, UCR, 2024
The Chronicles of Fractal Geometry: Fractal Strings, and Functorial Harps, Pomona College, Claremont Colleges, 2024
Diamond Fractal, WiMSoCal 2024, Pomona College, the Claremont Colleges, 2024
Diamond Fractal & the Moduli Space of Fractals, Fractal Analysis & Mathematical Physics Seminar, UCR, 2024
K-Theoretic Time Crystals, JMM 2024 AMS Special Session: Mathematical Physics & Future Directions
Diamond Fractal: Geometric Oscillations as Profinite Reflections, Fractal Analysis & Mathematical Physics Seminar, UCR, 2023
Six Operations on Topos and Infinity-Categorical Adjunction Theorem for Topoi, Fractal Analysis & Mathematical Physics Seminar, UCR, 2023
Moduli Space of Fractals and Modular Flow of Zeta Functions: a Comprehensive Review, Fractal Analysis & Mathematical Physics Seminar, UCR, 2023
Six Operations on Diamond Topos, JMM 2023 AMS Special Session: Langlands Program
Coniveau Spectral Sequence, Fractal Analysis & Mathematical Physics Seminar, UCR, 2023
MathArt Deconstruction, Active Inference Institute https://www.youtube.com/watch?
K-Theory of Schemes, Fractal Analysis & Mathematical Physics Seminar, UCR, 2023
Special Primes, Rethinking Number Theory, 2023
Diamond Langlands Functoriality, UCR Grad Slam Competition https://www.youtube.com/watch?
Six Operations on Topos, West Coast Number Theory, 2022
Langlands Correspondence and Conformal Field Theory: A Comprehensive Review, Fractal Analysis & Mathematical Physics Seminar, UCR, 2022
Geometric Langlands and Geometric Stake Equivalence: A Comprehensive Review, Fractal Analysis & Mathematical Physics Seminar, UCR, 2022
Modular Curves at Infinite Level and Perfectoid Modular Curves, Fractal Analysis & Mathematical Physics Seminar, UCR, 2022
Condensed Sets: a Comprehensive Review, Fractal Analysis & Mathematical Physics Seminar, UCR, 2022
Perfectoid Spaces: a Comprehensive Review, Fractal Analysis & Mathematical Physics Seminar, UCR, 2021
M-Theory and F-Theory: a Comprehensive Review, Fractal Analysis & Mathematical Physics Seminar, UCR
Motivic Homtopy Theory: a Comprehensive Review, Fractal Analysis & Mathematical Physics Seminar, UCR
Geometric Langlands and Mirror Symmetry: a Comprehensive Review, Fractal Analysis & Mathematical Physics Seminar, UCR, 2021
Infinity Categories and Factorization Homology: a Comprehensive Review, Fractal Analysis & Mathematical Physics Seminar, UCR, 2021
Crystalline Topos + Fargues-Fontaine Curve, Women in Mathematics CSUCI https://www.youtube.com/watch?
Selected MathArt Works
Mathematical Poetry
Time's Homeomorphism @Shanna Dobson 2022
Mathematical Clerihews @Shanna Dobson 2023
Sophie Germain
‘Ecole pro-pain
Gaussian identity of epistolary elasticity
Yours truly, M LeBlanc cooly
Alexander Grothendieck
Crystalline motivic chic
Became a universal topos
Dandelion erose
My Mobius Poem
© 2022 Shanna Dobson
My Klein Bottle Poem
© 2022 Shanna Dobson
The concept of sidedness
Enchants my mindedness
Must language have a side?
I am enchanted by
Dimensionality.
How wonderfully peculiar it must be
To be realized a dimension higher.
Fantastical Fiction Novels
The Artemis Chronicles of Imaginarium
Mathematical Plays
A Unicorn's Infinity-Christmas: Christmas Eve at the Imaginarium Institute, @Shanna Dobson 2021
Cinderella Ozma @Shanna Dobson 2021
Community Events
1/21/24: SoCal-Nevada MAA Section: Welcome Back Event at the American Institute of Mathematics (AIM Caltech)
12/13/23: A Winter Evening of Mathematical Holiday Poetry
