**Welcome**


This is the homepage of Sam Wallace, a PhD student at [Rutgers University Math Department](https://math.rutgers.edu/).

![](img/sam-arp-mus.jpg width=50%)

You can contact me at samuel.t.wallace AT rutgers.edu.

# About

![Complex wrinkle patterns on a thin elastic sheet on water.
[Source](https://www.pnas.org/content/116/42/20875)](img/thin-sheet.jpg)


I work in mathematical material science, using tools from PDE, calculus of variations, and geometric measure theory. My thesis work concerns the effective equations (Gamma convergence) of nonlinear elasticity. I am additionally interested in variational problems arising in other aspects of material science, such as fluids and plasticity. 

My advisor is [Ian Tobasco](http://www.iantobasco.com). We began my PhD at [MSCS @ UIC](https://mscs.uic.edu), and joined Rutgers as of Fall 2023.

## Presentations

1. [Poster](img/poster.pdf) presentation at University of Bonn titled "Planar Origami as a Limit of Thin Confined Sheets" in July 2023.
2. [Slides](img/slides.pdf) presentation at SES 2024 in Minneapolis titled "Origami as a Limit of Thin Confined Sheets" in October 2023.
3. [Slides](img/siam-slides-wallace.pdf) presentation at SIAM MS24 in Pittsburgh, May 2024.
4. Poster (Same as 1) presented at UMass Amherst Soft Matter Summer School, June 2024.
5. Slides (same as 3) presented at Free Boundary Problems conference in Joao Pessoa, Brazil, August 2024.


# My Bookshelf


For a full list of my reading list, check out my big list of books in a bibtex file: [here](./books/biglist.bib).

## Books

-   [Partial Differential Equations](https://www.google.com/books/edition/Partial_Differential_Equations/Xnu0o_EJrCQC?hl=en&gbpv=0)
    by [Evans](https://math.berkeley.edu/~evans/)
-   [Nonlinear Problems of Elasticity](https://www.google.com/books/edition/Nonlinear_Problems_of_Elasticity/MujlsgEACAAJ?hl=en)
    by Stuart Antman
-   [Calculus of Variations](https://www.google.com/books/edition/Calculus_of_Variations/7OpgDwAAQBAJ?hl=en&gbpv=0)
    by [Filip Rindler](https://warwick.ac.uk/fac/sci/maths/people/staff/filip_rindler/)
-   [Mathematical Problems in Plasticity](https://www.google.com/books/edition/Mathematical_Problems_in_Plasticity/5Hd1DwAAQBAJ?hl=en&gbpv=0)
    by Roger Temam
-   [Real-Variable Methods in Harmonic Analysis](https://www.google.com/books/edition/Real_Variable_Methods_in_Harmonic_Analys/_SdfDAAAQBAJ?hl=en&gbpv=0)
    by Alberto Torchinsky

## Lecture Notes/Papers

-   [Energy-driven pattern
		formation](https://www.math.nyu.edu/~kohn/papers/kohn-icm.pdf) by [Robert Kohn](https://math.nyu.edu/~kohn/)
-   [Mathematical Problems in Thin Elastic Sheets](https://www.google.com/books/edition/Vector_Valued_Partial_Differential_Equat/3gImDwAAQBAJ?hl=en&gbpv=0) (chapter) by Stefan Muller
-   [Some Open Problems in Elasticity](https://doi.org/10.1007/0-387-21791-6_1) by John Ball


# Links

## Academic Programs ##

-   [MATH @ RU](https://math.rutgers.edu/)
-   [MSCS @ UIC](https://mscs.uic.edu)
-   [MATH @ UF](https://math.ufl.edu)
-   [Phys @ UF](https://phys.ufl.edu)

## Math Links ##

-   [Terry Tao](https://terrytao.wordpress.com)
-   [Math Stack Exchange](https://math.stackexchange.com)
-   [V.I. Arnold's On Teaching Mathematics](https://www.uni-muenster.de/Physik.TP/~munsteg/arnold.html)
-   [Free Math Resources](https://realnotcomplex.com)

## LaTeX ##

-   [LaTeX Formatting for NSF GRFP](grfp-latex)
-   [Gilles Castel's Fast LaTeX typing in Vim](https://castel.dev)
-   [Fast LaTeX Typing in Emacs](https://karthinks.com/software/latex-input-for-impatient-scholars/)
-   [LaTeX Resource List](./workflow/latex/)

## Friends of Mine ##

-   [Thai](https://thaihangchung7.github.io/)
-   [Trevor](https://tteoli2.people.uic.edu/)
-   [Jake](https://tmaran2.people.uic.edu/)
-   [Nick](https://nchrist5.people.uic.edu/)
-   [Mihail](https://sites.math.rutgers.edu/~mt994/)

## Bored?

- [Test your TeX!](https://texnique.xyz/) [my personal best](img/texnique_pb.png)
- [Play a browser game](https://onebitpunch.itch.io/hello-rogue)
- [Watch a silent film on Wikipedia!](https://upload.wikimedia.org/wikipedia/commons/f/f5/%D0%A7%D0%B5%D0%BB%D0%BE%D0%B2%D0%B5%D0%BA_%D1%81_%D0%BA%D0%B8%D0%BD%D0%BE%D0%B0%D0%BF%D0%BF%D0%B0%D1%80%D0%B0%D1%82%D0%BE%D0%BC_%281929%29.webm)
- [Read a scary story](https://www.baen.com/Chapters/1597801461/1597801461___3.htm)


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