Background
About Research Teaching Seminars Other
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Caleb Suan (孙凯文)
PhD Student
Department of Mathematics
University of British Columbia
✉: calebkw@math.ubc.ca
LinkedIn Logo: caleb-suan-898692208
About Me

I am a PhD student studying mathematics at the University of British Columbia under the supervision of Sébastien Picard. I obtained my BMath from the University of Waterloo, where I held USRAs under Benoit Charbonneau and Laurent Marcoux. I also got my MMath at UWaterloo, with Spiro Karigiannis as my supervisor.

My CV can be found here.


Research

My research interests mostly lie in differential geometry and geometric analysis on manifolds with special holonomy (SU(3), G2, Spin(7)). Recently I have been working with geometric flows on such manifolds, in particular the Laplacian flow and coflow on G2 manifolds and the anomaly flow on complex 3-folds. I am also looking into different aspects of the Hull–Strominger system from physics (in various settings), such as conifold transitions and solutions to the system using Courant algebroids and generalized geometry.

My research statement can be found here.


Preprints and Publications
‣ Anomaly Flow: Shi-Type Estimates and Long-time Existence [arXiv:2408.15514]

‣ Laplacian Coflows of G2-Structures on Contact Calabi–Yau 7-Manifolds (with Henrique Sá Earp and Julieth Saavedra). [arXiv:2406.15254]

‣ Gromov–Hausdorff Continuity of Non-Kähler Calabi–Yau Conifold Transitions (with Benjamin Friedman and Sébastien Picard). [arXiv:2404.11840]

‣ Flows of G2-Structures associated with Calabi–Yau Manifolds (with Sébastien Picard), to appear in Mathematical Research Letters. [arXiv:2209.03411]

Notes
‣ Rarita–Schwinger Fields on Nearly Parallel G2 Manifolds. [pdf]

Master's Thesis
‣ Differential Operators on Manifolds with G2-Structure. (Supervisor: Spiro Karigiannis). [pdf]

USRA Projects
‣ The Almost Invariant Subspace Problem. (Supervisor: Laurent Marcoux). [pdf]

‣ Vortex Solutions on Riemann Surfaces from Hyperbolic Tessellations. (Supervisor: Benoit Charbonneau). [pdf]

Invited Talks
‣ Long-Time Existence of the Anomaly Flow. Rutgers - Newark Mathematics Colloquium. [Slides]

‣ Gromov–Hausdorff Continuity of Non-Kähler Calabi–Yau 3-Folds. CRM Workshop: Special Riemannian Geometries in Dimensions 6, 7, 8. [Slides]

‣ Flows of G2 Structures associated to Calabi–Yau Manifolds. UC-Irvine Generalized Ricci Flow Learning Seminar [Video, Slides]

‣ Flows of G2 Structures associated to Calabi–Yau Manifolds. BIRS Workshop: Spinorial and Octonionic Aspects of G2 and Spin(7) Geometry. [Video, Slides]
Teaching

Below is a list of the courses that I have had the opportunity to teach/TA for (or am currently teaching/TAing).

I currently hold office hours for MATH 180: Differential Calculus with Applications on Mondays from 1:30pm - 2:30pm in LASC 105 and on Wednesdays from 1pm - 2pm in LSK 300 C.


Small Class/Workshop Instructor - University of British Columbia
‣ MATH 180: Differential Calculus with Applications (2024 Winter Term I)

‣ MATH 180: Differential Calculus with Applications (2023 Winter Term I)

‣ MATH 190: Calculus Survey (2022 Winter Term I)

Teaching Assistant - University of British Columbia
‣ MATH 264: Vector Calculus for Electrical Engineering (2023 Winter Term II)

‣ MATH 220: Mathematical Proof (2022 Winter Term II)

‣ MATH 421: Real Analysis II (2021 Winter Term II)

‣ MATH 223: Linear Algebra (2021 Winter Term I)

Teaching Assistant - University of Waterloo
‣ PMATH 465: Geometry of Manifolds (Fall 2020)

‣ MATH 147: Calculus 1 (Advanced Level) (Fall 2020)

‣ PMATH 352: Complex Analysis (Spring 2020)

‣ PMATH 365: Differential Geometry (Winter 2020)

‣ MATH 136: Linear Algebra 1 for Honours Mathematics (Winter 2020)
Seminars

I am currently organising a weekly departmental Differential Geometry Learning Seminar. This term we plan to go through Generalized Ricci Flow [arXiv:2008.07004] by Mario Garcia-Fernandez and Jeffrey Streets. We meet each Friday from 2pm - 3pm in MATH 126 and also via Zoom. Feel free to email me to be added to the mailing list. Willing speakers are also always welcome.


Texts Studied in Past Terms
‣ Lectures on the Ricci Flow by Peter Topping (2023 Winter Term II)
Other

I enjoy bouldering and playing board games.


Some Board Games I Like

‣ Arkham Horror: The Card Game

‣ Brass: Birmingham

‣ Tzolk'in: The Mayan Calendar (with Tribes and Prophecies Expansion)

‣ Great Western Trail (Second Edition)

‣ Tekhenu: Obelisk of the Sun

‣ Teotihuacan: City of Gods (with Late Preclassic Period and Shadow of Xitle Expansions)

‣ Letter Jam

‣ Spirit Island (with Branch and Claw, Jagged Earth, Feather and Flame, and Nature Incarnate Expansions)

‣ Neta-Tanka

‣ Sidereal Confluence: Trading and Negotiation in the Elysian Quadrant


Links
BoardGameGeek: caleskws
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Website designed by Caleb Suan and Amy Tan
Last Updated on Nov 11, 2024 by Caleb Suan