Shanna Dobson

Shanna Dobson
College of Natural and Social Sciences
Mathematics
Office Location ST213
Phone
3233432150

 

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, and ArtCenter College of Design.

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, Member of the SIGMAA MAA Committee, Co-Organizer of the SLMath (formerly MSRI) May 12th Celebration of Women in Mathematics, Member of the 2024 Scientific Advisory Board at the Active Inference Institute, and Former Chair of the AWM-MAA Liaison Committee and MathFest Committee Member. I am Co-Chair of the Faculty Council Committee at ArtCenter College of Design. 

Pedagogy and Scholarship I am a strong advocate of multimodal learning, UDL, and making mathematics instruction accessible to all students 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.

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, Mathematical Clerihews, Mathematical Graffiti: Bridges 2023 Clerihew Collection: Journal of Humanistic Mathematics, 2024. In press.

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

Diamond Fractal, WiMSoCal 2024, Pomona College, the Claremont Colleges

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?v=UuXAjY9Wgdg, 2023

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?v=qzvoB2leL78&t=32s , 2022

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 ReviewFractal 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?v=uWwIax_Jmys&t=2s 

 

Fantastical Fiction Novels

Artemis Blu and the Solarium Multiversity, Book 1 of The Artemis Chronicles of Imaginarium

Artemis Blu II: Infinity Diamonds in Infinity Diapsalmata, Book 2 of The Artemis Chronicles of Imaginarium

Artemis Blu III, Book 3 of The Artemis Chronicles of Imaginarium (forthcoming)

 

Mathematical Plays

A Unicorn's Infinity-Christmas: Christmas Eve at the Imaginarium Institute, @Shanna Dobson 2021

Cinderella Ozma @Shanna Dobson 2021

The Temporality of Coco the Coconut @Shanna Dobson 2021
 

Mathematical Poetry

Time's Homeomorphism @Shanna Dobson 2022

https://www2.math.uconn.edu/~glaz/Mathematical_Poetry_at_Bridges/Bridges_2022/ShannaDobson_TimesHomeomorphism.pdf

https://www2.math.uconn.edu/~glaz/Mathematical_Poetry_at_Bridges/Bridges_2022/The-program-and-the-poets-2022.html

 

Fib Poem "Artemis" @Shanna Dobson 2022

My

Sweet 

Artems

Sunbathing

In the Lullaby

Wasn’t I Your Blue Narcissi

Pink Narnia, Your Snowy Sunshine Chariots Me

 

 

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

 

Archimedes 

Antiphrastical Pleiades 

Wasn’t Rimbaud the same? 

But your geometric solarium was remembered, germane

 

My Mobius Poem

 

Mobius Poem

© 2022 Shanna Dobson

 

My Klein Bottle Poem

Klein Bottle

© 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.

 

Upcoming 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