Background
About Research Teaching Seminars Other
Snoop Snop

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 received my MMath from 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 Calabi–Yau threefolds. I am also looking into different aspects of the Hull–Strominger system from heteroric string theory (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 N. 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)
[Mathematical Resesarch Letters 31 (2024) No. 6, 1837-1877, 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
Deformations of Special Structures in Dimensions 6 and 7
University of British Columbia Mathematics Colloquium

Conifold Transitions and the Anomaly Flow
Universität Hamburg Differential Geometry Resesarch Seminar

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/TA'ing).

I currently hold office hours for MATH 100: Differential Calculus with Applications to Physical Sciences and Engineering on Tuesdays from 2pm - 3pm in LSK 301, Thursdays from 1:30pm - 3pm in LSK 301, and on Fridays from 12noon - 1pm in LSK 300.



Small Class/Workshop Instructor - University of British Columbia
MATH 100: Differential Calculus with Applications to Physical Sciences and Engineering (2024 Winter Term II)

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 (co-)organize a weekly departmental Differential Geometry Learning Seminar. This term, we are meeting in MATH 126 on Fridays from 2pm - 3pm (participation via Zoom is also possible but slightly janky). Unlike the previous two terms, we are no longer following a set text and speakers are free to present on anything that they are reading or working on. You can email me to be added to the mailing list. Willing speakers are also always welcome.

Click here for more on this term's talks.



Texts Studied in Past Terms
Generalized Ricci Flow [arXiv:2008.07004] by Mario Garcia-Fernandez and Jeffrey Streets (2024 Winter Term I)

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 Mar 1, 2025 by Caleb Suan