This website uses features that are not well-supported by your browser. Please consider upgrading to a browser and version that fully supports CSS Grid and the CSS Flexible Box Layout Module.

Our commitment to inclusivity

Dartmouth’s capacity to advance its dual mission of education and research depends upon the full diversity and inclusivity of this community. We must increase diversity among our faculty, students, and staff. As we do so, we must also create a community in which every individual, regardless of gender, gender identity, sexual orientation, race, ethnicity, socio-economic status, disability, nationality, political or religious views, or position within the institution, is respected. On this close-knit and intimate campus, we must ensure that every person knows that they are a valued member of our community.

Curious about current research in our department? View recent publications by Dartmouth Mathematics faculty and students:

- Featured publications (2019 to current year)
- Publications indexed by MathSciNet (by subject area, with
**Dartmouth-affiliated authors**noted):

We encourage you to view individual faculty websites for more complete listings of publications.

Stabilizing radial basis function methods for conservation laws using weakly enforced boundary conditions

Jan Glaubitz, Anne Gelb

Journal of Scientific Computing, 2021

Jan Glaubitz, Anne Gelb

Journal of Scientific Computing, 2021

Mathematical Puzzles

Peter Winkler (Illustrations by Jess Johnson)

Routledge (A K Peters/CRC Press), 2020

Peter Winkler (Illustrations by Jess Johnson)

Routledge (A K Peters/CRC Press), 2020

The existence of minimizers for an isoperimetric problem with Wasserstein penalty term in unbounded domains

Qinglan Xia, Bohan Zhou

Advances in Calculus of Variations, 2021

Qinglan Xia, Bohan Zhou

Advances in Calculus of Variations, 2021

Towards stable radial basis function methods for linear advection problems

Jan Glaubitz, Elise Le Meledo, Philipp Öffner

Computers and Mathematics with Applications, 2021

Jan Glaubitz, Elise Le Meledo, Philipp Öffner

Computers and Mathematics with Applications, 2021

Oscillatory dynamics in the dilemma of social distancing

Alina Glaubitz, Feng Fu

Proceedings of the Royal Society A — Mathematical, Physical and Engineering Sciences, 2020

Alina Glaubitz, Feng Fu

Proceedings of the Royal Society A — Mathematical, Physical and Engineering Sciences, 2020

Pervasive chromosomal instability and karyotype order in tumour evolution

Thomas B. K. Watkins, Emilia L. Lim, Marina Petkovic, Sergi Elizalde et al.

Nature, 2020

Thomas B. K. Watkins, Emilia L. Lim, Marina Petkovic, Sergi Elizalde et al.

Nature, 2020

Mathematically modeling spillovers of an emerging infectious zoonosis with an intermediate host

Katherine Royce, Feng Fu

PLOS One, 2020

Katherine Royce, Feng Fu

PLOS One, 2020

Stable High Order Quadrature Rules for Scattered Data and General Weight Functions

Jan Glaubitz

SIAM Journal of Numerical Analysis, 2020

Jan Glaubitz

SIAM Journal of Numerical Analysis, 2020

On the Poisson relation for compact Lie groups

Craig Sutton

Annals of Global Analysis and Geometry, 2020

Craig Sutton

Annals of Global Analysis and Geometry, 2020

An insertion algorithm on multiset partitions with applications to diagram algebras

Laura Colmenarejo, Rosa Orellana, Franco Saliola, Anne Schilling, Mike Zabrocki

Journal of Algebra, 2020

Laura Colmenarejo, Rosa Orellana, Franco Saliola, Anne Schilling, Mike Zabrocki

Journal of Algebra, 2020

Commutation and Normal Ordering for Operators on Symmetric Functions

Emmanuel Briand, Peter R. W. McNamara, Rosa Orellana, Mercedes Rosas

Séminaire Lotharingien de Combinatoire, 2019

Emmanuel Briand, Peter R. W. McNamara, Rosa Orellana, Mercedes Rosas

Séminaire Lotharingien de Combinatoire, 2019

Conic bundle fourfolds with nontrivial unramified Brauer group

Asher Auel, Christian Böhning, Hans-Christian Graf von Bothmer, Alena Pirutka

Journal of Algebraic Geometry, 2019

Asher Auel, Christian Böhning, Hans-Christian Graf von Bothmer, Alena Pirutka

Journal of Algebraic Geometry, 2019

Consecutive Patterns in Inversion Sequences II: Avoiding Patterns of Relations

Juan S. Auli, Sergi Elizalde

Journal of Integer Sequences, 2019

Juan S. Auli, Sergi Elizalde

Journal of Integer Sequences, 2019

Consecutive Patterns in Inversion Sequences

Juan S. Auli, Sergi Elizalde

Discrete Mathematics & Theoretical Computer Science, 2019

Juan S. Auli, Sergi Elizalde

Discrete Mathematics & Theoretical Computer Science, 2019

Spectral clustering methods for multiplex networks

Daryl DeFord, Scott Pauls

Physica A: Statistical Mechanics and its Applications, 2019

Daryl DeFord, Scott Pauls

Physica A: Statistical Mechanics and its Applications, 2019

Edge-adaptive $\ell_2$ regularization image reconstruction from non-uniform Fourier data

Victor Churchill, Rick Archibald, Anne Gelb

Inverse Problems and Imaging, 2019

Victor Churchill, Rick Archibald, Anne Gelb

Inverse Problems and Imaging, 2019

Universal Triviality of the Chow Group of 0-cycles and the Brauer Group

Asher Auel, Alessandro Bigazzi, Christian Böhning, Hans-Christian Graf von Bothmer

International Mathematics Research Notices, 2019

Asher Auel, Alessandro Bigazzi, Christian Böhning, Hans-Christian Graf von Bothmer

International Mathematics Research Notices, 2019

Detecting Edges from Non-uniform Fourier Data via Sparse Bayesian Learning

Victor Churchill, Anne Gelb

Journal of Scientific Computing, 2019

Victor Churchill, Anne Gelb

Journal of Scientific Computing, 2019

Edge-masked CT image reconstruction from limited data

Victor Churchill, Anne Gelb

Proceedings Volume 11072, 15th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, 2019

Victor Churchill, Anne Gelb

Proceedings Volume 11072, 15th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, 2019

Products of symmetric group characters

Rosa Orellana, Mike Zabrocki

Journal of Combinatorial Theory, Series A, 2019

Rosa Orellana, Mike Zabrocki

Journal of Combinatorial Theory, Series A, 2019

The Belyi degree of a curve is computable

Ariyan Javanpeykar, John Voight

Contemporary Mathematics, 2019

Ariyan Javanpeykar, John Voight

Contemporary Mathematics, 2019

Cyclic descents for near-hook and two-row shapes

Ron M. Adin, Sergi Elizalde, Yuval Roichman

European Journal of Combinatorics, 2019

Ron M. Adin, Sergi Elizalde, Yuval Roichman

European Journal of Combinatorics, 2019

The reciprocal sum of the amicable numbers

Hanh My Nguyen, Carl Pomerance

Mathematics of Computation, 2019

Hanh My Nguyen, Carl Pomerance

Mathematics of Computation, 2019

Imperfect vaccine and hysteresis

Xingru Chen, Feng Fu

Proceedings of the Royal Society B — Biological Sciences, 2019

Xingru Chen, Feng Fu

Proceedings of the Royal Society B — Biological Sciences, 2019

**Auli, Juan** S. and **Elizalde, Sergi**, *Wilf equivalences between vincular patterns in inversion sequences*,

Applied Mathematics and Computation, **388** (2021), 10.1016/j.amc.2020.125514.

**Elizalde, Sergi**, *Descents on quasi-Stirling permutations*,

Journal of Combinatorial Theory. Series A, **180** (2021), 10.1016/j.jcta.2021.105429.

Ford, Kevin and Konyagin, Sergei and Maynard, James and **Pomerance, Carl** and Tao, Terence, *Long gaps in sieved sets*,

Journal of the European Mathematical Society (JEMS), **23** (2021), 10.4171/jems/1020.

**Chari, Sara** and **Smertnig, Daniel** and **Voight, John**, *On basic and Bass quaternion orders*,

Proceedings of the American Mathematical Society. Series B, **8** (2021), 10.1090/bproc/68.

Friedmann, Tamar and **Hanlon, Phil** and Stanley, Richard P. and Wachs, Michelle L., *On a generalization of Lie$(k)$: a CataLAnKe theorem*,

Advances in Mathematics, **380** (2021), 10.1016/j.aim.2021.107570.

Ionescu, Marius and Kumjian, Alex and Renault, Jean N. and Sims, Aidan and **Williams, Dana** P., *$C^*$-algebras of extensions of groupoids by group bundles*,

Journal of Functional Analysis, **280** (2021), 10.1016/j.jfa.2020.108892.

**Kulkarni, Avinash** and Lerario, Antonio, *$p$-adic integral geometry*,

SIAM Journal on Applied Algebra and Geometry, **5** (2021), 10.1137/19M1284737.

**Elizalde, Sergi** and **Moore, Katherine**, *Characterizations and enumerations of patterns of signed shifts*,

Discrete Applied Mathematics. The Journal of Combinatorial Algorithms, Informatics and Computational Sciences, **277** (2020), 10.1016/j.dam.2019.09.002.

Kenyon, Richard and Kráľ, Daniel and Radin, Charles and **Winkler, Peter**, *Permutations with fixed pattern densities*,

Random Structures & Algorithms, **56** (2020), 10.1002/rsa.20882.

**Auli, Juan** S. and **Elizalde, Sergi**, *Inversion sequences avoiding consecutive patterns*,

Séminaire Lotharingien de Combinatoire, **84B** (2020).

**Elizalde, Sergi**, *Measuring symmetry in lattice paths and partitions*,

Séminaire Lotharingien de Combinatoire, **84B** (2020).

**Herbrich, Peter**, *Zeta-equivalent digraphs: simultaneous cospectrality*,

Linear Algebra and its Applications, **602** (2020), 10.1016/j.laa.2020.04.027.

Colmenarejo, Laura and **Orellana, Rosa** and Saliola, Franco and Schilling, Anne and Zabrocki, Mike, *An insertion algorithm for diagram algebras*,

Séminaire Lotharingien de Combinatoire, **84B** (2020).

Colmenarejo, Laura and **Orellana, Rosa** and Saliola, Franco and Schilling, Anne and Zabrocki, Mike, *An insertion algorithm on multiset partitions with applications to diagram algebras*,

Journal of Algebra, **557** (2020), 10.1016/j.jalgebra.2020.04.010.

Laishram, Shanta and López-Aguayo, Daniel and **Pomerance, Carl** and Thongjunthug, Thotsaphon, *Progress towards a nonintegrality conjecture*,

European Journal of Mathematics, **6** (2020), 10.1007/s40879-019-00353-4.

Pizzo, Maggie and **Pomerance, Carl** and **Voight, John**, *Counting elliptic curves with an isogeny of degree three*,

Proceedings of the American Mathematical Society. Series B, **7** (2020), 10.1090/bproc/45.

Kinlaw, Paul and **Kobayashi, Mitsuo** and **Pomerance, Carl**, *On the equation $\varphi (n)=\varphi (n+1)$*,

Acta Arithmetica, **196** (2020), 10.4064/aa190627-20-1.

Doran, Charles F. and Kelly, Tyler L. and Salerno, Adriana and Sperber, Steven and **Voight, John** and Whitcher, Ursula, *Hypergeometric decomposition of symmetric K3 quartic pencils*,

Research in the Mathematical Sciences, **7** (2020), 10.1007/s40687-020-0203-3.

Lercier, Reynald and Ritzenthaler, Christophe and **Sijsling, Jeroen**, *Reconstructing plane quartics from their invariants*,

Discrete & Computational Geometry. An International Journal of Mathematics and Computer Science, **63** (2020), 10.1007/s00454-018-0047-4.

**Auel, Asher** and Böhning, Christian and von Bothmer, Hans-Christian Graf and Pirutka, Alena, *Conic bundle fourfolds with nontrivial unramified Brauer group*,

Journal of Algebraic Geometry, **29** (2020), 10.1090/jag/743.

**Gordon, Carolyn** and Makover, Eran and **Muetzel, Bjoern** and **Webb, David**, *Sunada transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds*,

The Tohoku Mathematical Journal. Second Series, **72** (2020), 10.2748/tmj/1585101624.

Clark, Lisa O. and Steinberg, Benjamin and **van Wyk, Daniel** W., *GCR and CCR Steinberg algebras*,

Canadian Journal of Mathematics. Journal Canadien de Mathématiques, **72** (2020), 10.4153/s0008414x19000415.

**Chernov, Vladimir** and Nemirovski, Stefan, *Interval topology in contact geometry*,

Communications in Contemporary Mathematics, **22** (2020), 10.1142/S0219199719500421.

**Allen, Samantha**, *Concordances from differences of torus knots to $L$-space knots*,

Proceedings of the American Mathematical Society, **148** (2020), 10.1090/proc/14833.

**Chernov, Vladimir** and **Freund, David** and **Sadykov, Rustam**, *Minimizing intersection points of curves under virtual homotopy*,

Journal of Knot Theory and its Ramifications, **29** (2020), 10.1142/S0218216520500078.

**Allen, Samantha**, *Using secondary upsilon invariants to rule out stable equivalence of knot complexes*,

Algebraic & Geometric Topology, **20** (2020), 10.2140/agt.2020.20.29.

**Petkova, Ina** and **Wong, C.**-M. Michael, *Skein relations for tangle Floer homology*,

Quantum Topology, **11** (2020), 10.4171/QT/134.

**Chernov, V.** and Martin, G. and **Petkova, I.**, *Khovanov homology and causality in spacetimes*,

Journal of Mathematical Physics, **61** (2020), 10.1063/5.0002297.

Cahn, Patricia and **Chernov, Vladimir**, *Loose Legendrian and pseudo-Legendrian knots in 3-manifolds*,

The Journal of Symplectic Geometry, **18** (2020), 10.4310/JSG.2020.v18.n3.a2.

**Sutton, Craig**, *On the Poisson relation for compact Lie groups*,

Annals of Global Analysis and Geometry, **57** (2020), 10.1007/s10455-020-09712-x.

**Lee, Yoonsang**, *Parameter estimation in the stochastic superparameterization of two-layer quasigeostrophic flows*,

Research in the Mathematical Sciences, **7** (2020), 10.1007/s40687-020-00213-8.

Menz, Georg and **Tassy, Martin**, *A variational principle for a non-integrable model*,

Probability Theory and Related Fields, **177** (2020), 10.1007/s00440-020-00959-w.

Lammers, Piet G. and **Tassy, Martin**, *Variational principle for weakly dependent random fields*,

Journal of Statistical Physics, **179** (2020), 10.1007/s10955-020-02538-8.

**Wang, Xin** and Zheng, Zhiming and **Fu, Feng**, *Steering eco-evolutionary game dynamics with manifold control*,

Proceedings A, **476** (2020), 10.1098/rspa.2019.0643.

Garcia, Victor and Bonhoeffer, Sebastian and **Fu, Feng**, *Cancer-induced immunosuppression can enable effectiveness of immunotherapy through bistability generation: A mathematical and computational examination*,

Journal of Theoretical Biology, **492** (2020), 10.1016/j.jtbi.2020.110185.

**Glaubitz, Alina** and **Fu, Feng**, *Oscillatory dynamics in the dilemma of social distancing*,

Proceedings A, **476** (2020), 10.1098/rspa.2020.0686.

**Ratti, Vardayani** and **Nanda, Seema** and Eszterhas, Susan K. and Howell, Alexandra L. and **Wallace, Dorothy** I., *A mathematical model of HIV dynamics treated with a population of gene-edited haematopoietic progenitor cells exhibiting threshold phenomenon*,

Mathematical Medicine and Biology. A Journal of the IMA, **37** (2020), 10.1093/imammb/dqz011.

**Groszek, Marcia** J. and Hamkins, Joel David, *The implicitly constructible universe*,

The Journal of Symbolic Logic, **84** (2019), 10.1017/jsl.2018.57.

**Elizalde, Sergi** and **Troyka, Justin** M., *Exact and asymptotic enumeration of cyclic permutations according to descent set*,

Journal of Combinatorial Theory. Series A, **165** (2019), 10.1016/j.jcta.2019.02.012.

**Troyka, Justin** M., *On the centrosymmetric permutations in a class*,

The Australasian Journal of Combinatorics, **74** (2019).

Blackburn, Simon R. and Homberger, Cheyne and **Winkler, Peter**, *The minimum Manhattan distance and minimum jump of permutations*,

Journal of Combinatorial Theory. Series A, **161** (2019), 10.1016/j.jcta.2018.09.002.

**Auli, Juan** S. and **Elizalde, Sergi**, *Consecutive patterns in inversion sequences II: Avoiding patterns of relations*,

Journal of Integer Sequences, **22** (2019).

**Auli, Juan** S. and **Elizalde, Sergi**, *Consecutive patterns in inversion sequences*,

Discrete Mathematics & Theoretical Computer Science. DMTCS., **21** (2019).

Chandgotia, Nishant and Pak, Igor and **Tassy, Martin**, *Kirszbraun-type theorems for graphs*,

Journal of Combinatorial Theory. Series B, **137** (2019), 10.1016/j.jctb.2018.11.007.

Briand, Emmanuel and McNamara, Peter R. W. and **Orellana, Rosa** and Rosas, Mercedes, *Commutation and normal ordering for operators on symmetric functions*,

Séminaire Lotharingien de Combinatoire, **80** (2019).

Adin, Ron M. and **Elizalde, Sergi** and Roichman, Yuval, *Cyclic descents for near-hook and two-row shapes*,

European Journal of Combinatorics, **79** (2019), 10.1016/j.ejc.2019.02.009.

Clark, Pete L. and **Voight, John**, *Algebraic curves uniformized by congruence subgroups of triangle groups*,

Transactions of the American Mathematical Society, **371** (2019), 10.1090/tran/7139.

Nguyen, Hanh My and **Pomerance, Carl**, *The reciprocal sum of the amicable numbers*,

Mathematics of Computation, **88** (2019), 10.1090/mcom/3362.

Banks, William and Pollack, Paul and **Pomerance, Carl**, *Symmetric primes revisited*,

Integers. Electronic Journal of Combinatorial Number Theory, **19** (2019).

**Pomerance, Carl** and Spicer, Chris, *Proof of the Sheldon conjecture*,

American Mathematical Monthly, **126** (2019), 10.1080/00029890.2019.1626672.

Lichtman, Jared Duker and **Pomerance, Carl**, *The Erdős conjecture for primitive sets*,

Proceedings of the American Mathematical Society. Series B, **6** (2019), 10.1090/bproc/40.

Linowitz, Benjamin and Stover, Matthew and **Voight, John**, *Correction to: Commensurability classes of fake quadrics*,

Selecta Mathematica. New Series, **25** (2019), 10.1007/s00029-019-0502-y.

Linowitz, Benjamin and Stover, Matthew and **Voight, John**, *Commensurability classes of fake quadrics*,

Selecta Mathematica. New Series, **25** (2019), 10.1007/s00029-019-0492-9.

Brumer, Armand and Pacetti, Ariel and Poor, Cris and Tornaría, Gonzalo and **Voight, John** and Yuen, David S., *On the paramodularity of typical abelian surfaces*,

Algebra & Number Theory, **13** (2019), 10.2140/ant.2019.13.1145.

Park, Jennifer and Poonen, Bjorn and **Voight, John** and Wood, Melanie Matchett, *A heuristic for boundedness of ranks of elliptic curves*,

Journal of the European Mathematical Society (JEMS), **21** (2019), 10.4171/JEMS/893.

**Costa, Edgar** and Mascot, Nicolas and Sijsling, Jeroen and **Voight, John**, *Rigorous computation of the endomorphism ring of a Jacobian*,

Mathematics of Computation, **88** (2019), 10.1090/mcom/3373.

**Musty, Michael** and **Schiavone, Sam** and Sijsling, Jeroen and **Voight, John**, *A database of Belyi maps*,

Proceedings of the Thirteenth Algorithmic Number Theory Symposium, **2** (2019).

Javanpeykar, Ariyan and **Voight, John**, *The Belyi degree of a curve is computable*,

Arithmetic geometry: computation and applications, **722** (2019), 10.1090/conm/722/14533.

**Babei, Angelica**, *Computing normalizers of tiled orders in $M_n(k)$*,

Proceedings of the Thirteenth Algorithmic Number Theory Symposium, **2** (2019).

Lichtman, Jared Duker and Martin, Greg and **Pomerance, Carl**, *Primes in prime number races*,

Proceedings of the American Mathematical Society, **147** (2019), 10.1090/proc/14569.

Banks, W. D. and Friedlander, J. B. and **Pomerance, C.** and Shparlinski, I. E., *Counting integers with a smooth totient*,

The Quarterly Journal of Mathematics, **70** (2019), 10.1093/qmathj/haz026.

**Smertnig, Daniel** and **Voight, John**, *Definite orders with locally free cancellation*,

Transactions of the London Mathematical Society, **6** (2019), 10.1112/tlm3.12019.

Lenstra, Jr., H. W. and **Pomerance, Carl**, *Primality testing with Gaussian periods*,

Journal of the European Mathematical Society (JEMS), **21** (2019), 10.4171/JEMS/861.

Garcia Elsener, Ana and Lampe, Philipp and **Smertnig, Daniel**, *Factoriality and class groups of cluster algebras*,

Advances in Mathematics, **358** (2019), 10.1016/j.aim.2019.106858.

Bouyer, Florian and **Costa, Edgar** and Festi, Dino and Nicholls, Christopher and West, Mckenzie, *On the arithmetic of a family of degree-two K3 surfaces*,

Mathematical Proceedings of the Cambridge Philosophical Society, **166** (2019), 10.1017/S0305004118000087.

Lercier, Reynald and Ritzenthaler, Christophe and Rovetta, Florent and **Sijsling, Jeroen** and Smith, Benjamin, *Distributions of traces of Frobenius for smooth plane curves over finite fields*,

Experimental Mathematics, **28** (2019), 10.1080/10586458.2017.1328321.

Chen, Ryan C. and Kim, Yujin H. and **Lichtman, Jared D.** and Miller, Steven J. and Sweitzer, Shannon and Winsor, Eric, *Spectral statistics of non-Hermitian random matrix ensembles*,

Random Matrices. Theory and Applications, **8** (2019), 10.1142/S2010326319500059.

**Orellana, Rosa** and Zabrocki, Mike, *Products of symmetric group characters*,

Journal of Combinatorial Theory. Series A, **165** (2019), 10.1016/j.jcta.2019.02.019.

Ionescu, Marius and Kumjian, Alex and Sims, Aidan and **Williams, Dana** P., *The Dixmier-Douady classes of certain groupoid $C^\ast$-algebras with continuous trace*,

Journal of Operator Theory, **81** (2019), 10.7900/jot.

**Gordon, Carolyn** S. and Jablonski, Michael R., *Einstein solvmanifolds have maximal symmetry*,

Journal of Differential Geometry, **111** (2019), 10.4310/jdg/1547607686.

Heap, Aaron and **Knowles, Douglas**, *Space-efficient knot mosaics for prime knots with mosaic number 6*,

Involve. A Journal of Mathematics, **12** (2019), 10.2140/involve.2019.12.767.

Ellis, Alexander P. and **Petkova, Ina** and Vértesi, Vera, *Quantum gl(1|1) and tangle Floer homology*,

Advances in Mathematics, **350** (2019), 10.1016/j.aim.2019.04.023.

**van Erp, Erik** and Yuncken, Robert, *A groupoid approach to pseudodifferential calculi*,

Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], **756** (2019), 10.1515/crelle-2017-0035.

Pollack, Paul and **Pomerance, Carl**, *Eigenvalues of the Laplacian on domains with fractal boundary*,

Horizons of fractal geometry and complex dimensions, **731** (2019), 10.1090/conm/731/14678.

Arias-Marco, Teresa and Dryden, Emily B. and **Gordon, Carolyn** S. and Hassannezhad, Asma and Ray, Allie and Stanhope, Elizabeth, *Spectral geometry of the Steklov problem on orbifolds*,

International Mathematics Research Notices. IMRN (2019), 10.1093/imrn/rnx117.

**Gelb, Anne** and Scarnati, Theresa, *Reducing effects of bad data using variance based joint sparsity recovery*,

Journal of Scientific Computing, **78** (2019), 10.1007/s10915-018-0754-2.

Adcock, Ben and **Gelb, Anne** and Song, Guohui and Sui, Yi, *Joint sparse recovery based on variances*,

SIAM Journal on Scientific Computing, **41** (2019), 10.1137/17M1155983.

**Gelb, Anne** and Hou, X. and Li, Q., *Numerical analysis for conservation laws using $l_1$ minimization*,

Journal of Scientific Computing, **81** (2019), 10.1007/s10915-019-00982-7.

**Glaubitz, Jan** and **Gelb, Anne**, *High order edge sensors with $\ell^1$ regularization for enhanced discontinuous Galerkin methods*,

SIAM Journal on Scientific Computing, **41** (2019), 10.1137/18M1195280.

Ginsberg, Alexander G. and **Fu, Feng**, *Evolution of cooperation in public goods games with stochastic opting-out*,

Games, **10** (2019), 10.3390/g10010001.

**Churchill, Victor** and Archibald, Rick and **Gelb, Anne**, *Edge-adaptive $\ell_2$ regularization image reconstruction from non-uniform Fourier data*,

Inverse Problems and Imaging, **13** (2019), 10.3934/ipi.2019042.

**Churchill, Victor** and **Gelb, Anne**, *Detecting edges from non-uniform Fourier data via sparse Bayesian learning*,

Journal of Scientific Computing, **80** (2019), 10.1007/s10915-019-00955-w.