**Office**ST213

I am a PhD Candidate in Mathematics at the University of California, Riverside. My doctoral advisor is Dr. Michel L. Lapidus, Distinguished Professor of Mathematics at the University of California, Riverside.

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, Category Theory, Topos Theory

*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, Associate Editor of the Anneli Lax New Mathematical Library, President of the AWM Chapter at UCR, Member at Large of the AMS Committee on Meetings and Conferences, and Co-Organizer of the SLMath (formerly MSRI) May 12th Celebration of Women in Mathematics. I am the former Chair of the AWM-MAA Liaison Committee, and former Member of the MathFest and SIGMAA MAA Committees.

I am Chair of the Faculty Council Committee at ArtCenter College of Design. I am the Co-Creator of the *Faculty Institute* at ArtCenter College of Design, and the Co-Creator of the *Redesigning the Future Series*.

I am a Member of the 2024 Scientific Advisory Board at the Active Inference Institute. I am the creator and facilitator of the* **MathArt Conversations Educational Project.*

*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, mathematics and neuroscience, and mathematics and the arts, primarily the literary arts.

*Organization: Upcoming Conferences* Lead Organizer: JMM 2025 AMS Special Session: Rethinking Number Theory: Highlighting the Research of the RNT Workshops; Lead Organizer: JMM 2025 AWM Special Session: Exploring Mathematics through the Arts and Pedagogy in Creative Settings

*Selected Articles/Preprints*

*Dobson, Shanna (2024). Diamonds in the Langlands Program: a Comprehensive Review, Ramanujan Journal, DOI *10.1007/s11139-024-00899-2, https://doi.org/10.1007/s11139-024-00899-2.

*Manrique, Hector M., Dobson, Shanna, and Walker, Michael J. (2024). "Time-warps," PsyArXiv. **https://doi.org/10.31234/osf.io/2yvja*

*John Cullinan, Shanna Dobson, Linda Frey, Asimina Hamakiotes, Roberto Hernandez, Nathan Kaplan, Jorge Mello, and Gabrielle Scullard (2024). The Probability of Non-Isomorphic Group Structures of Isogenous Elliptic Curves in Finite Field Extensions, II, Journal of Number Theory. In press. *arXiv:2401.06250 [math.NT]

*Dobson, Shanna (2024). Categorical Colors in Diamonds: Sight as Site: Categorical Ozma and Cinderella, Women in MathArt, Springer. In press. **https://philpapers.org/rec/DOBCCI *

*Dobson, Shanna (2024). Mathematical Clerihews, **Bridges Clerihew Collection: Journal of Humanistic Mathematics. In press.** *

*Dobson, Shanna, Lutken E.R. (2024). To Look on Beauty Bare: Mathematics as Metaphor in Poetry, Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture. ** *

*Dobson, Shanna, Zhong Jim (2024). Categorical Mental Imagery: Visualizing the 4th Spatial Dimension, https://philarchive.org/rec/DOBVTT*

*Dobson, Shanna (2023). 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*

*Dobson, Shanna, and Fields, Chris (2023). Constructing Condensed Memories in Functorial Time, Journal of Experimental & Theoretical Artificial Intelligence, DOI: 10.1080/0952813X.2023.222237*

*Dobson, Shanna (2023). Literary Incarnations of Topology, Cross-Curricular Pure Math Applications, MAA Notes.*

*Dobson, Shanna (2023). Dark Imaginarium: Infinity-Curiosity, https://philpapers.org/rec/DOBDII *

*Dobson, Shanna, and Scaff, Julian (2023). Qurio: Meta-Learning Curiosity Algorithm and Agentive AI Tutor: Women in MathArt, Springer. In press.*

*Dobson, Shanna, and Prentner, Robert (2023). Artistic Mediation in Mathematical Phenomenology: Women in MathArt, Springer. In press.*

*Dobson, Shanna, and Scaff, Julian (2023). Quantum Intrinsic Curiosity Algorithms, https://philarchive.org/rec/DOBQIC*

*Dobson, Shanna, and Fields, Chris (2022). Making Up Our Minds: Imaginative Deconstruction in MathArt, 1920 – Present: Women in MathArt, Springer. In press.*

*Dobson, Shanna (2021). Efimov K-theory of Diamonds, 3rd BYMAT Conference Proceedings, TEMat Monograficos ISBN 2660-6003. *

*Dobson, Shanna and Prentner, Robert (2021). Perfectoid Diamonds and n-Awareness. A Meta-Model of Subjective Experience *arXiv:2102.07620 *[math.GM]. *

*Dobson, Shanna, and Spruijt, Gershom (2022). Imagination as Mathematics, Women in MathArt, Springer. In press.*

*Dobson, Shanna (2021). Curating Metacognitive Conversations to Address Imposter Syndrome, Read to Learn Cal State LA Practitioner Perspectives https://readtolearn.calstate.edu/practitioner-perspectives. *

*Dobson, Shanna (2021). Sophie Germain: Revolutionary Mathematician, AWM Book Review.*

*Selected Talks*

Derived Enhancement of Fractal Geometry, *JMM 2025 AMS Special Session*: *Fractal Geometry with Applications to Analysis, Number Theory and Mathematical Physics, January 10, 2025*

*Particles and Waves: Southern California Abstraction and Science, 1945 - 1990, Palm Springs Art Museum: Getty Museum Pacific Standard Time ART Initiative: Art & Science Collide, May 31, 2024*

*MathArt Conversations: MathArt Stream 1, Active Inference Institute, May 17, 2024* https://www.youtube.com/watch?v=9DNxiBDYLzg

*MathArt Conversations: MathArt Stream 2, Active Inference Institute, May 24, 2024 **https://www.youtube.com/watch?v=XQKjFV-pCXQ&t=3s*

*MathArt Conversations: MathArt Stream 3, Active Inference Institute, May 31, 2024 *https://www.youtube.com/watch?v=WnC3mZ1TAxk

*MathArt Conversations: MathArt Stream 5, Active Inference Institute, July 26, 2024 https://www.youtube.com/watch?v=MUcsN43HPoI *

*MathArt Conversations: MathArt Stream 6, Active Inference Institute, August 2, 2024 **https://www.youtube.com/watch?v=qDilepcGCNs*

*Functorial Harp and 2-Category of Complex Dimensions, Fractal Analysis & Mathematical Physics Seminar, UCR, May 2024*

*The Chronicles of Fractal Geometry: Fractal Strings, and Functorial Harps, Pomona College, Claremont Colleges, April 2024*

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

*Intuition and MathArt in Mathematics Graduate Curriculum: Multimodal Learning, RUME, February 2024*

*Diamond Fractal & the Moduli Space of Fractals, Fractal Analysis & Mathematical Physics Seminar, UCR, January 2024*

*K-Theoretic Time Crystals, JMM 2024 AMS Special Session: Mathematical Physics & Future Directions, January 2024*

*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 Seminar, UCR, 2023*

*Moduli Space of Fractals and Modular Flow of Zeta Functions: a Comprehensive Review, Fractal Analysis 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 Seminar, UCR, 2022*

*Geometric Langlands and Geometric Stake Equivalence: A Comprehensive Review, Fractal Analysis Seminar, UCR, 2022*

*Modular Curves at Infinite Level and Perfectoid Modular Curves, Fractal Analysis 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** Review,** **Fractal Analysis & Mathematical Physics Seminar, UCR*

*Motivic Homtopy Theory: a 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*

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 @Shanna Dobson 2021 - 2024*

*Mathematical Plays*

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

Cinderella Ozma @Shanna Dobson 2021

*Community Events*

5/10/24: SL Math Celebration of Women in Mathematics

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