**Office Location**ST213

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?

*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?

*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*

*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*

© 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. *

*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