- N. Addington, W. Donovan, C. Meachan,
*Mukai flops and P-twists*(July 9, 2015) [arXiv:1507.02595] - N. Addington, W. Donovan, C. Meachan,
*Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences*(July 9, 2015) [arXiv:1507.02597] - N. Addington,
*On two rationality conjectures for cubic fourfolds*, Math. Res. Lett. (May 19, 2014) [arXiv:1405.4902] - N. Addington, M. Lehn,
*On the symplectic eightfold associated to a Pfaffian cubic fourfold*, J. Reine Angew. Math. (April 22, 2014) [arXiv:1404.5657] - N. Addington, W. Donovan, E. Segal,
*The Pfaffian-Grassmannian equivalence revisited*, Alg. Geom. (January 15, 2014) [arXiv:1401.3661] - N. Addington, R. P. Thomas,
*Hodge theory and derived categories of cubic fourfolds*, Duke Math. J., vol. 163 no. 10 (2014), pp. 1885-1927 [arXiv:1211.3758] - N. Addington, E. Segal, E. Sharpe,
*D-brane probes, branched double covers, and noncommutative resolutions*, Adv. Theor. Math. Phys., vol. 18 no. 6 (2014), pp. 1369-1436 [arXiv:1211.2446]

- Aristotelous, A. C. and Durrett, R.,
*Fingering in Stochastic Growth Models.*, Experimental Mathematics (July, 2014) - Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise,
*Adaptive, Second-Order in Time, Primitive-Variable Discontinuous Galerkin Schemes for a Cahn-Hilliard Equation with a Mass Source*, IMA Journal of Numerical Analysis (March, 2014) - A. C. Aristotelous, M. A. Haider,
*Evaluation of Diffusive Transport and Cellular Uptake of Nutrients in Tissue Engineered Constructs using a Hybrid Discrete Model*, Processes (March, 2014) - Andreas C. Aristotelous and Richard Durrett,
*Chemical Evolutionary Games*, Theoretical Population Biology (February, 2014) - Andreas C. Aristotelous and Mansoor A. Haider,
*Use of Hybrid Discrete Cellular Models for Identification of Macroscopic Nutrient Loss in Reaction-Diffusion Models of Tissues.*, Int. J. Numer. Meth. Biomed. Engng. (February, 2014)

- P.S. Aspinwall and Ben Gaines,
*Rational Curves and (0,2)-Deformations*, Journal of Geometry and Physics (2014) [arXiv:1404.7802] - P.S. Aspinwall,
*Exoflops in Two Dimensions*(2014) [arXiv:1412.0612] - P.S. Aspinwall,
*A McKay-Like Correspondence for (0,2)-Deformations*, Advances in Theoretical and Mathematical Physics, vol. 18 no. 4 (2014), pp. 761-797 [1110.2524]

- R. Bar-On,
*105L-106L Coursepack, Fall 2014 and Spring 2015*(August, 2014) - Rann Bar-On, Jack Bookman, Benjamin Cooke, Donna Hall, Sarah Schott,
*(Re)discovering SoTL Through a Fundamental Challenge: Helping Students Transition to College Calculus*, in Doing the Scholarship of Teaching and Learning in Mathematics, MAA Notes, edited by Jacqueline M. Dewar and Curtis D. Bennett, vol. 83 (2014), pp. 59-66, The Mathematical Association of America, ISBN 9780883851937 [abs]

- J. T. Beale,
*Uniform error estimates for Navier-Stokes flow with an exact moving boundary using the immersed interface method*, SIAM J. Numer. Anal. (2015) [pdf]

- Liz Munch, Paul Bendich, Kate Turner, Sayan Mukherjee, Jonathan Mattingly, and John Harer,
*Probabalistic Frechet Means and Statistics on Vineyards*, Electronic Journal of Statistics, vol. 9 (2015), pp. 1173-1204 [6530] [abs] [author's comments] - Christopher J Tralie and Paul Bendich,
*Cover Song Identification with Timbral Shape*, Proceedings of the 16th International Society for Music Information Retrieval (2015) [1507.05143] [abs] - David Rouse, Adam Watkins, David Porter, John Harer, Paul Bendich, Nate Strawn,Elizabeth Munch, Jonathan DeSena, Jesse Clarke, Jeff Gilbert, Sang Chin, and Andrew Newman,
*Feature-Aided Multiple Hypothesis Tracking Using Topological and Statistical Behavior Classifiers*, SPIE DSS 2015, vol. 9474 (2015) - Paul Bendich, Ellen Gasparovic, John Harer, Rauf Ismailov, and Linda Ness,
*Multi-Scale Local Shape Analysis and Feature Selection in Machine Learning Applications*, Proceedings of the 2015 International Joint Conference on Neural Networks (2015) [arXiv:1410.3169]

- J. B. Greer and A. L. Bertozzi,
*H-1 solutions of a class of fourth order nonlinear equations for image processing*, Discrete And Continuous Dynamical Systems, vol. 10 no. 1-2 (2004), pp. 349 -- 366

- O. Bobrowski and M. Kahle,
*Topology of Random Geometric Complexes: A Survey*(2014) - O. Bobrowski, S. Mukherjee and J. S. Taylor,
*Topological Consistency via Kernel Estimation*(2014) - O. Bobrowski and S. Mukherjee,
*The Topology of Probability Distributions on Manifolds*, Probability Theory and Related Fields (2014) [doi] - R. J. Adler, O. Bobrowski and S. Weinberger,
*Crackle: The Homology of Noise*, Discrete and Computational Geometry (2014) [doi] - O. Bobrowski and R. J. Adler,
*Distance Functions, Critical Points and the Topology of Random Čech Complexes*, Homology, Homotopy and Applications (2014)

- H.L. Bray and J. L. Jauregui,
*On Curves with Nonnegative Torsion*, Archiv der Mathematik, vol. 104 no. 6 (2015), pp. 561-575 [arXiv:1312.5171 [math.DG]], [c8d239381b86496b96d95ff26f1061eb] - H.L. Bray and A. R. Parry,
*Modeling Wave Dark Matter in Dwarf Spheroidal Galaxies*, Proceedings of IARD 2014, Journal of Physics: Conference Series, vol. 615 (2015) [available here] - L.A. Martinez-Medina, H.L. Bray, T. Matos,
*On wave dark matter in spiral and barred galaxies*(2015) [arXiv:1505.07154], [1505.07154] - H.L. Bray and A.S. Goetz,
*Wave Dark Matter and the Tully-Fisher Relation*(September, 2014) [arXiv:1409.7347], [html] - H.L. Bray and J. L. Jauregui,
*Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass*, Communications in Mathematical Physics (April, 2014) [arXiv:1310.8638 [math.DG]], [8638] - H.L. Bray, J. L. Jauregui, M. Mars,
*Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II*(February, 2014) [arXiv:1402.3287 [math.DG]], [3287] [abs]

- R.L. Bryant,
*Notes on Exterior Differential Systems*(May, 2014) [arXiv:1405.3116] [abs] [author's comments] - R.L. Bryant,
*S.-s. Chern's study of almost-complex structures on the six-sphere*(May, 2014) [arXiv:1405.3405] [abs]

- Jameson Cahill and Dustin G. Mixon,
*Robust width: A characterization of uniformly stable and robust compressed sensing*(2014) [4409] [abs] - Saeid Bahmanpour, Jameson Cahill, Peter G. Casazza, John Jasper, Lindsey M. Woodland,
*Phase retrieval and norm retrieval*(2014) [8266]

- G. Di Cerbo, L.F. Di Cerbo,
*A sharp cusp count for complex hyperbolic surfaces and related results*, Arch. Math. (Basel) (July, 2014) [arXiv:1312.5368] - L.F. Di Cerbo,
*Generic Properties of Homogeneous Ricci Solitons*, Adv. Geom., vol. 14 no. 2 (2014), pp. 225-237 [arXiv:0711.0465]

- Moes, N. and Dolbow, J. and Belytschko, T.,
*A finite element method for crack growth without remeshing*, Int. J. Numer. Methods Eng. (UK), vol. 46 no. 1 (10), pp. 131 - 50 [(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.3.CO;2-A] [abs]

- I Sgouralis, RG Evans, BS Gardiner, JA Smith, BC Fry, AT Layton,
*Renal hemodynamics, function, and oxygenation during cardiac surgery performed on cardiopulmonary bypass: A modeling study*, Physiological Reports, vol. 3 (2015), pp. e12260 - BC Fry, A Edwards, AT Layton,
*Impacts of nitric oxide and superoxide on renal medullary oxygen transport and urine concentration*, American Journal of Physiology - Renal Physiology, vol. 308 (2015), pp. F967-F980 - BC Fry and AT Layton,
*Oxygen transport in a cross section of the rat inner medulla: Impact of heterogeneous distribution of nephrons and vessels*, Mathematical Biosciences, vol. 258 (2014), pp. 68-76 - BC Fry, A Edwards, I Sgouralis, AT Layton,
*Impact of renal medullary three-dimensional architecture on oxygen transport*, American Journal of Physiology - Renal Physiology, vol. 307 (2014), pp. F263-F272

- J. Damon, E. Gasparovic,
*Shape and Positional Geometry of Multi-Object Configurations*(2014) - P. Bendich, E. Gasparovic, J. Harer, R. Izmailov, L. Ness,
*Multi-scale Local Shape Analysis and Feature Selection in Machine Learning Applications*(2014) [arXiv:1410.3169] - G. Bal, J. Bergbauer, E. W. Chambers, E. Gasparovic, R. Hu, K. Leonard, M. Shaker, C. Wenk,
*Skeleton-based recognition of shapes in images via longest path matching*, to appear in Research in Shape Analysis (2014) - J. Damon, E. Gasparovic,
*Modeling Multi-Object Configurations Via Medial/Skeletal Linking Structures*(2014)

- J.R. Getz and H. Hahn,
*A general simple relative trace formula*, Pacific J. Math (2015) - J.R. Getz and P. E. Herman,
*A nonabelian trace formula*, Research in the Mathematical Sciences (2015) [abs] - J.R. Getz,
*Invariant four-variable automorphic kernel functions*(2014) - J.R. Getz,
*Automorphic kernel functions in four variables*(2014) - J.R. Getz and H. Hahn,
*Algebraic cycles and Tate classes on Hilbert modular varieties*, Int. J. Number Theory, vol. 10 no. 1 (2014), pp. 161-176 [abs]

- J. R. Getz and H. Hahn,
*A general simple relative trace formula*, Pacific J. Math (2015) - J. R. Getz and H. Hahn,
*Algebraic cycles and Tate classes on Hilbert modular varieties*, Int. J. Number Theory, vol. 10 no. 1 (2014), pp. 161-176

- Richard Hain,
*Deligne-Beilinson cohomology of affine groups*(July, 2015) [arXiv:1507.03144] - D. Arapura, A. Dimca, R. Hain,
*On the fundamental groups of normal varieties*, Communications in Contemporary Mathematics (June, 2015) [arXiv:1412.1483] - Richard Hain,
, Journal of Topology, vol. 8 no. 1 (2015), pp. 213-246, Oxford University Press, ISSN 1753-8416 [arXiv:1305.2052], [213.abstract]*Genus 3 Mapping Class Groups are not Kähler* - Richard Hain,
(March, 2014) [arXiv:1403.6443]*The Hodge-de Rham theory of modular groups* - Alexandru Dimca, Richard Hain, Stefan Papadima,
*The abelianization of the Johnson kernel*, Journal of the European Mathematical Society, vol. 16 no. 4 (2014), pp. 805-822 [arXiv:1101.1392], [show_abstract.php]

- Katharine Turner, Yuriy Mileyko, Sayan Mukherjee, John Harer,
*Fréchet Means for Distributions of Persistence diagrams*, Discrete and Computational Geometry, vol. 52 (July, 2014), pp. 44-70 [arXiv:1206.2790], [doi] [abs] - Jose Perea and J. Harer,
*Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis*, Foundations of Computational Mathematics (May, 2014), ISSN 1615-3375 (http://arxiv.org/abs/1307.6188.) [abs] - S. Bristow, A. Leman, L. Simmons Kovacs, A. Deckard, J. Harer, S. B. Haase,
*Checkpoints Couple Transcription Network Oscillator Dynamics to Cell-Cycle Progression*, Genome Biology, vol. 15:446 (2014) [doi] [abs] - P. Bendich, E. Gasparovic, J. Harer, R. Izmailov, and L. Ness,
*Multi-Scale Local Shape Analysis and Feature Selection in Machine Learning Applications*, AISTATS (2014) [abs] - E. Munch, P. Bendich, K. Turner, S. Mukherjee, J. Mattingly and J. Harer,
*Probabilistic Frechet Means and Statistics on Vineyards*, Foundations of Computational Math (2014) [abs] - J. Perea, A. Deckard, S. Haase and J. Harer,
*Sliding Windows and 1-Persistence Scoring; Discovering Periodicity in Gene Expression Time Series Data*, BMC Bioinformatics (2014) [abs] - K.A. McGoff, X. Guo, A. Deckard, A.R. Leman, C.M. Kelliher, S.B. Haase, and J.L. Harer,
*The Local Edge Machine: Inference of dynamic models of gene regulation*, Nature Methods (2014) [abs] - P. Bendich, S. Chin, J. Clarke, J. deSena, J. Harer, E. Munch, A. Newman, D. Porter, D. Rouse, N. Strawn, and A. Watkins,
*Topological and Statistical Behavior Classifiers for Tracking Applications*, IEEE Trans. on Aerospace and Electronic Systems (2014) [abs] - P. Bendich, Jacob Harer and John Harer,
*A Persistent Homology Based Geodesic Distance Estimator*, Journal of Machine Learning Research (2014) [author's comments] - Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer,
*Probabilistic Fréchet Means and Statistics on Vineyards*(2014) (http://arxiv.org/abs/1307.6530.) [abs]

- D.P. Herzog and J.C. Mattingly,
*Noise-Induced Stabilization of Planar Flows I*(April, 2014) [pdf] - D.P. Herzog and J.C. Mattingly,
*Noise-Induced Stabilization of Planar Flows II*(April, 2014) [pdf]

- Anita T. Layton,
*Mathematical physiology*, in Princeton Companion to Applied Mathematics, edited by Nicholas J. Higham (2015), ISBN 978-0691150390 - Ioannis Sgouralis, Roger Evans, Bruce S. Gardiner, Julian A Smith, Brendan C. Fry, and Anita T. Layton,
*Renal hemodynamics, function and oxygenation during cardiac surgery performed on cardiopulmonary bypass: A modeling study*, Physiol Report, vol. 3 no. 1 (2015) - Ashlee N. Ford Versypt, Elizabeth Makrides, Julia C. Arciero, Laura Ellwein, and Anita T. Layton,
*Bifurcation Study of Blood Flow Control in the Kidney*, Math Biosci, vol. 263 (2015), pp. 169–179 - Brendan Fry, Aurelie Edwards, and Anita Layton,
*Impacts of nitric oxide and superoxide on renal medullary oxygen transport and urine concentration*, Am J Physiol Renal Physiol, vol. 308 (2015), pp. F967-F980 - H. Nganguia, Y.-N. Young, A.T. Layton, W.-F. Hu, and M.-C. Lai,
*An immersed interface method for axisymmetric electrohydrodynamic simulations in Stokes flow*, Comm Comput Phys, in press (2015) - Tal Burt, Douglas C. Rouse, Kihak Lee, Huali Wu, Anita T. Layton, Thomas C. Hawk, Douglas H. Weitzel, Bennett B. Chin, Michael Cohen-Wolkowiez, Shein-Chung Chow, and Robert J. Noveck,
*Intra-arterial microdosing (IAM), a novel drug development approach,proof of concept in rodents*, CPT: Pharmacometrics and Systems Pharmacology, submitted (2015) - Ioannis Sgouralis, Vasileios Maroulas, and Anita T. Layton,
*Transfer function analysis of dynamic blood flow control in the rat kidney*, Bull Math Biol, submitted (2015) - Anita T. Layton and Robert Moss,
*Tracking the distribution of a solute bolus in the rat kidney*, Math Biosci, submitted (2015) - Anita T. Layton,
*Recent advances in renal hemodynamics: Insights from bench experiments and computer simulations*, Am J Physiol Renal Physiol, vol. 3008 (2015), pp. F951-F955 - Ioannis Sgouralis and Anita T. Layton,
*Mathematical modeling of renal hemodynamics in physiology and pathophysiology*, Math Biosci, in press (2015) - Anita T. Layton, Volker Vallon, and Aurelie Edwards,
*Modeling oxygen consumption in the proximal tubule: Effects of NHE and SGLT2 inhibition*, Am J Physiol Renal Physiol, in press (2015) - Ioannis Sgouralis and Anita T. Layton,
*Conduction of feedback-mediated signal in a computational model of coupled nephron*, Med Math Biol, in press (2014) - Aurelie Edwards and Anita T. Layton,
*Calcium dynamics underlying the myogenic response of the renal afferent arteriole*, Am J Physiol Renal Physiol, vol. 306 no. F34-F48 (2014) - Ioannis Sgouralis and Anita T. Layton,
*Theoretical assessment of renal autoregulatory mechanisms*, Am J Physiol Renal Physiol, vol. 306 (2014), pp. F1357-F1371 - Robert Moss and Anita T. Layton,
*Dominant factors that govern pressure natriuresis in diuresis and antidiuresis: a mathematical model*, Am J Physiol Renal Physiol, vol. 306 (2014), pp. F952-F969 - Anita T. Layton,
*Mathematical modeling of urea transport in the kidney*, in Urea Transporters, edited by Baoxue Yang (2014), Springer - Hwayeon Ryu and Anita T. Layton,
*Tubular fluid flow and distal NaCl delivery mediated by tubuloglomerular feedback in the rat kidney*, J Math Biol, vol. 68 (2014), pp. 1023-1049 - Anita T. Layton,
*Impacts of facilitated urea transporters on the urine concentrating mechanism in the rat kidney*, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, vol. 638 (2014), pp. 191-208 - Hwayeon Ryu and Anita T. Layton,
*Feedback-mediated dynamics in a model of coupled nephrons with compliant short loop of Henle*, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, vol. 628 (2014), pp. 209-238 - Yi Li, Ioannis Sgouralis, and Anita T. Layton,
*Computing viscous flow in an elastic tube*, Numer. Math. Theor. Meth. Appl.,, vol. 7 (2014), pp. 555-574 - Thomas L. Pannabecker and Anita T. Layton,
*Targeted delivery of solutes and oxygen in the renal medulla: role of microvessel architecture*, Am J Physiol Renal Physiol, vol. 307 no. 6 (2014), pp. F649-F655 - Julia Arcerio, Laura Ellwein, Ashlee N. Ford Versypt, Elizabeth Makride, and Anita T. Layton,
*Modeling blood flow in the kidney*, IMA volume (2014) - Gregory J. Herschlag, Jian-Guo Liu, and Anita T. Layton,
*An exact solution for Stokes flow in an infinite channel with permeable walls*, SIAM Appl Math, submitted (2014) - Brendan C. Fry and Anita T. Layton,
*Oxygen transport in a cross section of the rat inner medulla: Impact of heterogeneous distribution of nephrons and vessels*, Math Biosci, vol. 258 (2014), pp. 68–76 - Aurelie Edwards, Hayo Castrop, Kamel Laghmani, Volker Vallon, and Anita T. Layton,
*Regulation of NKCC2 isoform expression and NaCl transport in the thick ascending limb and macula densa cells*, Am J Physiol Renal Physiol, vol. 307 (2014), pp. F137-F146 - Anita T. Layton and Sarah D. Olson (editors),
*Biological Fluid Dynamics: Modeling, Computation, and Applications*, AMS Contemporary Mathematics (2014) - Brendan C. Fry, Aurelie Edward, Ioannis Sgouralis, and Anita T. Layton,
*Impact of renal medullary three-dimensional architecture on oxygen transport*, Am J Physiol Renal Physiol, vol. 307 (2014), pp. F263-F272 - Anita T. Layton and Aurelie Edwards,
*Predicted effects of nitric oxide and superoxide on the vasoactivity of the afferent arteriole*, Am J Physiol Renal Physiol, in press , accepted 2015

- W. Liao and A. Fannjiang,
*MUSIC for single-snapshot spectral estimation: stability and super-resolution*(2014)

- N. Bergeron, M. Lipnowski,
*Twisted limit formula for torsion and cyclic base change*(2015) [6749] - J. Getz, H. Hahn, M. Lipnowski,
*A relative Weyl law and spectral sparsity of distinguished representations*(2015) - M. Lipnowski,
*The Equivariant Cheeger-Müller Theorem on Locally Symmetric Spaces*, Journal of the Institute of Mathematics of Jussieu (2014) (Available on CJO 2014 doi:10.1017/S1474748014000310.) [2543]

- F. Coquel, S. Jin, J.-G. Liu and L. Wang,
*Well-posedness and singular limit of a semilinear hyperbolic relaxation system with a two-scale discontinuous relaxation rate*, Arch. Rat. Mech. Anal., vol. 214 (2014), pp. 1051-1084 - P. Degond, J.-G. Liu and C. Ringhofer,
*Evolution of wealth in a nonconservative economy driven by local Nash equilibria*, Phil. Trans. R. Soc. A, vol. 372 (2014), pp. 20130394 - X. Chen, A. Jungel, J.-G. Liu,
*A note on Aubin-Lions-Dubinskii lemmas*, Acta Appl. Math., vol. 133 (2014), pp. 33-43 - P. Degond, J.-G. Liu and C. Ringhofer,
*Large-scale dynamics of Mean-Field Games driven by local Nash equilibria*, J Nonlinear Sci., vol. 24 (2014), pp. 93-115 - P. Degond, J.-G. Liu and C. Ringhofer,
*Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria*, J. Stat. Phys., vol. 154 (2014), pp. 751-780 - T. Goudon, S. Jin, J.-G. Liu and B. Yan,
*Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density*, Internat. J. Numer. Methods Fluids, vol. 75 (2014), pp. 81-154 - P. Degond, M. Herty and J.-G. Liu,
*Flow on sweeping networks*, Multiscale Model. Simul., vol. 12 (2014), pp. 538--565 - D. Chae, P. Degond, J.-G. Liu,
*Well-posedness for Hall-magnetohydrodynamics*, Ann. I. H. Poincare, AN, vol. 31 (2014), pp. 555-565 - X. Chen, X. Liu and J.-G. Liu,
*Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles*, Commun. Math. Sci., vol. 12 (2014), pp. 1579-1601 - H. Johnston, C. Wang and J.-G. Liu,
*A local pressure boundary condition spectral collocation scheme for the three-dimensional Navier-Stokes equations*, J. Sci. Comput., vol. 60 (2014), pp. 612-626 - J.-G. Liu and R.L. Pego,
*On generating functions of Hausdorff moment sequences*, Trans. Amer. Math. Soc. (2014) - P. Degond, A. Frouvelle, J.-G. Liu,
*Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics*, Arch. Rat. Mech. Anal. (2014) - A. Chertock, J.-G. Liu, and T. Pendleton,
*Elastic collisions among peakon solutions for the Camassa-Holm equation*, Appl. Numer. Math. (2014) - S. Bian, J.-G. Liu, and C. Zou,
*Ultra-contractivity for Keller-Segel model with diffusion exponent m>1-2/d*, Kinetic and Related Models, vol. 7 (2014), pp. 9-28 - Y. Duan and J.-G. Liu,
*Convergence analysis of the vortex blob method for the b-equation*, Discrete Contin. Dyn. Syst. Ser. A, vol. 34 (2014), pp. 1995-2011 - P. Degond, A. Frouvelle, J.-G. Liu,
*A note on phase transitions for the Smoluchowski equation with dipolar potential*, in Proceedings of the Fourteenth International Conference on Hyperbolic Problems: Theory, Numerics and Application (2014)

- with Felix Otto,
*An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus*(2015) - with Jeremy L. Marzuola,
*Strang splitting methods for a quasilinear Schrodinger equation - convergence, instability and dynamics*, Commun. Math. Sci., vol. 13 (2015), pp. 1051--1074 [arXiv:1305.7205], [doi] - Haizhao Yang, Jianfeng Lu, William Brown, Ingrid Daubechies, Lexing Ying,
*Quantitative canvas weave analysis using 2D synchrosqueezed transforms*, IEEE Signal Process. Mag., vol. 32 (2015), pp. 55-63 [doi] - with James Nolen,
*Reactive trajectories and the transition path processes*, Probab. Theory Related Fields, vol. 161 no. 1-2 (2015), pp. 195-244 ([erratum].) [arXiv:1303.1744], [doi] - with Jian-Guo Liu and Dionisios Margetis,
*Emergence of step flow from atomistic scheme of epitaxial growth in 1+1 dimensions*, Phys. Rev. E, vol. 91 (2015), pp. 032403 [arXiv:1409.0046], [doi] - with Jingchen Liu, Xiang Zhou,
*Efficient rare event simulation for failure problems in random media*, SIAM J. Sci. Comput., vol. 37 no. 2 (2015), pp. A609-A624 [arXiv:1404.4729], [doi] - with Qin Li and Weiran Sun,
*Diffusion approximations of linear transport equations: Asymptotics and numerics*, J. Comput. Phys., vol. 292 (2015), pp. 141-167 [arXiv:1409.0476], [doi] - with Christian B. Mendl,
*Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation*, J. Comput. Phys., vol. 291 (2015), pp. 303-316 [arXiv:1408.1782], [doi] - Yin Xian, Andrew Thompson, Qiang Qiu, Loren Nolte, Douglas Nowacek, Jianfeng Lu, Robert Calderbank,
*Classification of whale vocalizations using the Weyl transform*, in IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2015 (2015) - with Vitaly Moroz, Cyrill B. Muratov,
*Orbital-free density functional theory of out-of-plane charge screening in graphene*, J. Nonlinear Sci. (2015) [arXiv:1405.4949] - with Ricardo Delgadillo and Xu Yang,
*Frozen Gaussian approximation for high frequency wave propagation in periodic media*(2015) [arXiv:1504.08051] - with Rongjie Lai,
*Localized density matrix minimization and linear scaling algorithms*(2015) [arXiv:1506.01610] - with Xiantao Li,
*Traction boundary conditions for molecular static simulations*(2015) [arXiv:1503.03555] - with Chen Li and Weitao Yang,
*Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals*(2015) - with Benedikt Wirth and Haizhao Yang,
*Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis*(2015) [arXiv:1501.06254] - with Jingrun Chen,
*Analysis of the divide-and-conquer method for electronic structure calculations*, Math. Comp. (2014) [arXiv:1411.0066] - with Lexing Ying,
*Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost*(2014) [arXiv:1410.7757] - with Lin Lin and Sihong Shao,
*Analysis of the time reversible Born-Oppenheimer molecular dynamics*, edited by G. Ciccotti, M. Ferrario and Ch. Schuette, Entropy, vol. 16 (2014), pp. 110-137 (Special issue on Molecular Dynamics Simulation.) [doi] - with Robert V. Kohn, Ben Schweizer, Michael I. Weinstein,
*A variational perspective on cloaking by anomalous localized resonance*, Comm. Math. Phys., vol. 328 no. 1 (2014), pp. 1-27 [doi] - Yang Yang, Degao Peng, Jianfeng Lu, Weitao Yang,
*Excitation Energies from Particle-Particle Random Phase Approximation: Davidson Algorithm and Benchmark Studies*, J. Chem. Phys., vol. 141 (2014), pp. 124104 [doi] - with Felix Otto,
*Nonexistence of minimizer for Thomas-Fermi-Dirac-von Weizsacker model*, Comm. Pure Appl. Math., vol. 67 (2014), pp. 1605--1617 [doi] - with Pingbing Ming,
*Stability of a force-based hybrid method with planar sharp interface*, SIAM J. Numer. Anal., vol. 52 no. 4 (2014), pp. 2005--2026 [doi] - with Rongjie Lai, Stanley Osher,
*Density matrix minimization with $\ell_1$ regularization*, Commun. Math. Sci. (2014) [arXiv:1403.1525] - with Qin Li, Weiran Sun,
*A convergent method for linear half-space kinetic equation*(2014) [arXiv:1408.6630] - with Bin Hu,
*Dynamic production capacity management with price skimming*(2014) - with Haizhao Yang, Lexing Ying,
*Crystal image analysis using 2D synchrosqueezed transforms*(2014) [arXiv:1402.1262] - with Weinan E,
*Mathematical theory of solids: from quantum mechanics to continuum models*, Discret. Contin. Dyn. Sys., vol. 34 (2014), pp. 5085-5097 [doi] - with Eric Vanden-Eijnden,
*Exact dynamical coarse-graining without time-scale separation*, J. Chem. Phys., vol. 141 (2014), pp. 044109 [arXiv:1404.4225], [doi]

- M. Maggioni, S. Minsker, N. Strawn,
*Multiscale Dictionary and Manifold Learning: Non-Asymptotic Bounds for the Geometric Multi-Resolution Analysis*, in Proc. iTWIST’14: international - Traveling Workshop on Interactions between Sparse models and Technology (August, 2014) - Nicolas Altemose, Karen H. Miga, Mauro Maggioni, Huntington F. Willard,
*Genomic Characterization of Large Heterochromatic Gaps in the Human Genome Assembly*, PLOS Computational Biology (2014) - M. Crosskey, M. Maggioni,
*ATLAS: A geometric approach to learning high-dimensional stochastic systems near manifolds*(2014) [arXiv:1404.0667] - E Causevic and R~R Coifman and R Isenhart and A Jacquin and E~R John and M Maggioni and L~S Prichep and F~J Warner,
*QEEG-based classification with wavelet packets and microstate features for triage applications in the ER*(2005) - S. Ferrari and M. Maggioni and N. A. Borghese,
*Multi-Scale Approximation with Hierarchical Radial Basis Functions Networks,*, IEEE Trans. on Neural Networks, vol. 15 no. 1 (2004), pp. 178--188 - GL Davis and Mauro Maggioni and FJ Warner and FB Geshwind and AC Coppi and RA DeVerse and RR Coifman,
*Hyper-spectral Analysis of normal and malignant colon tissue microarray sections using a novel DMD system*(2004) (Poster, Optical Imaging NIH workshop, to app. in proc..) - Ronald R Coifman and Mauro Maggioni,
*Multiresolution Analysis associated to diffusion semigroups: construction and fast algorithms*no. YALE/DCS/TR-1289 (2004)

- with Christy Vaughn,
*Redistricting and the Will of the People*(October, 2014) [pdf] [abs] - with Stephan Huckemann, Ezra Miller, James Nolen,
*Sticky central limit theorems at isolated hyperbolic planar singularities*(October, 2014) [arXiv:1410.6879] [abs] - with David P. Herzog,
*Noise-Induced Stabilization of Planar Flows II*(April, 2014) [arXiv:1404.0955] - with David P. Herzog,
*Noise-Induced Stabilization of Planar Flows I*(April, 2014) [arXiv:1404.0957] - with Yuri Bakhtin, Tobias Hurth,
*Regularity of invariant densities for 1D-systems with random switching*(2014) [arXiv:1406.5425] [abs] - with Sean D. Lawley and Michael C. Reed,
*Stochastic switching in infinite dimensions with applications to random parabolic PDEs*(2014) [arXiv:1407.2264] [abs] - Jonathan C. Mattingly and Etienne Pardoux,
*Invariant measure selection by noise: An Example*, Discrete and Continuous Dynamical Systems. Series A, vol. 34 no. 10 (2014), pp. 4223--4257 [arXiv:1403.3593] [abs] - with Sean D. Lawley and Michael C. Reed,
*Sensitivity to switching rates in stochastically switched ODEs*(2014) [arXiv:1310.2525] [abs]

- K. McGoff, S. Mukherjee, A. Nobel, N. Pillai,
*Consistency of maximum likelihood estimation for some dynamical systems*, Ann. Statist., vol. 43 no. 1 (2015), pp. 1-29 [arXiv:1306.5603] - M. Boyle, J. Buzzi, K. McGoff,
*Bowen's entropy-conjugacy conjecture is true up to finite index*, Proc. Amer. Math. Soc. (2014) [arXiv:1310.2740] - K. Lan, K. McGoff,
*Coalescence and meeting times on n-block Markov chains*, J. Theoret. Probab. (2014) [arxiv:1410.0099]

- C. Cornwell, L. Ng, and S. Sivek,
*Obstructions to Lagrangian concordance*(2014) [arXiv:1411.1364] - L. Ng,
*A topological introduction to knot contact homology*, in Contact and Symplectic Topology, edited by F. Bourgeois, V. Colin, and A. Stipsicz (2014), ISBN 978-3-319-02035-8 [arXiv:1210.4803], [doi] - M. Aganagic, T. Ekholm, L. Ng, and C. Vafa,
*Topological strings, D-model, and knot contact homology*, Advances in Theoretical and Mathematical Physics, vol. 18 no. 4 (2014), pp. 827-956 [arXiv:1304.5778], [doi]

- S. Huckemann, E. Miller, J. Mattingly, J. Nolen,
*Sticky central limit theorems at isolated hyperbolic planar singularities*, Electronic Journal of Probability (July, 2015) [3887], [doi] - J. Nolen, J.-M. Roqujoffre, L. Ryzhik,
*Power-like delay in time inhomogeneous Fisher-KPP equations*, Communications in Partial Differential Equations, vol. 40 no. 3 (2015), pp. 475-505 [pdf], [doi] - F. Hamel, J. Nolen, J.-M. Roquejoffre, L. Ryzhik,
*The logarithmic delay of KPP fronts in a periodic medium*, Journal of the European Mathematical Society (2015) [6173] - A. Gloria and J. Nolen,
*A quantitative central limit theorem for the effective conductance on the discrete torus*, Communications on Pure and Applied Mathematics (2015) [5734] - J.-C. Mourrat and J. Nolen,
*Scaling limit of the corrector in stochastic homogenization*(2015) [arXiv:1502.07440] - J. Lu and J. Nolen,
*Reactive trajectories and the transition path process.*, Probability Theory and Related Fields (January, 2014) [1744], [doi] - J. Nolen,
*Normal approximation for a random elliptic equation*, Probability Theory and Related Fields, vol. 159 no. 3 (2014), pp. 661-700 [pdf], [doi] - J. Nolen,
*Normal approximation for the net flux through a random conductor*(2014) [2186]

- Jose A. Perea, Anastasia Deckard, Steve B. Haase and John Harer,
*SW1PerS: Sliding Windows and 1-Persistence Scoring; Discovering Periodicity in Gene Expression Time Series Data*, BMC Bioinformatics (July, 2015) (Journal Info: rank 8 of 52 in subject category Mathematical & Computational Biology, 2013 Impact Factor 2.67; Journal Citation Reports, Thomson Reuters.) - Jose A. Perea and John Harer,
*Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis*, Foundations of Computational Mathematics (May, 2014), ISSN 1615-3375 (Journal Info: rank 7 of 296 in subject category Mathematics, 2012 Impact Factor 1.918; Journal Citation Reports, Thomson Reuters.) [arXiv:1307.6188], [doi] - Jose A. Perea and Gunnar Carlsson,
*A Klein-Bottle-Based Dictionary for Texture Representation*, International Journal of Computer Vision, vol. 107 no. 1 (March, 2014), pp. 75-97, ISSN 0920-5691 (Journal Info: rank 9 of 115 in subject category Computer Science/Artificial Intelligence, 2012 Impact factor 3.623; Journal Citation Reports, Thomson Reuters.) [doi]

- A. O. Petters and M. C. Werner,
*Gravitational Lensing and Black Holes*(July, 2016), Springer, in preparation - A. O. Petters and X. Dong,
*An Introduction to Mathematical Finance: Understanding and Building Financial Intuition*, SUMAT (July, 2015), Springer, in preparation

- M. Bertolini, I.V. Melnikov, and M.Ronen Plesser,
*Massless spectrum for hybrids CFTs*, in Proceedings of String-Math 2013 (2014) [1751] [abs] - M. Bertolini, I.V. Merlnikov, and M. Ronen Plesser,
*Accidents in (0,2) Landau-Ginzburg theories*(2014) [4266] [abs] - M. Bertolini and M. Ronen Plesser,
*Worldsheet instantons and (0,2) linear models*(2014) [4541] [abs] - M. Bertolini, I.V. Melnikov, and M. Ronen Plesser,
*Hybrid Conformal Field Theories*, JHEP, vol. 14 no. 05 (2014), pp. 043 [7063] [abs]

- L. Ji, K. Murty, L. Saper, and J. Scherk,
*The Fundamental Group of Reductive Borel-Serre and Satake Compactifications*, The Asian Journal of Mathematics, vol. 19 no. 3 (2015), pp. 465-486 [arXiv:1106.4810], [available here] [abs]

- C. Schoen,
*An arithmetic ball quotient surface whose Albanese variety is not of CM type*, Electron. Res. Announc. Math. Sci., vol. 21 (2014), pp. 132-136, American Institute of Mathematical Sciences

- M.A. Stern,
*$C^{\infty}$ Stability, Canonical Maps, and Discrete Dynamics*(2014) (arXiv:1410.8851.) - Mark Stern,
*Nonlinear Harmonic Forms and an Exotic Bochner Formula*(2014) (arXiv:1411.0144.)

- Trangenstein, J.A. and Bell, J.B.,
*Mathematical structure of compositional reservoir simulation*, SIAM J. Sci. Stat. Comput. (USA), vol. 10 no. 5 , pp. 817 - 45 [abs]

- Sergey Belov and Stephanos Venakides,
*Smooth parametric dependence of asymptotics of the semiclassical focusing NLS*, Analysis & PDE, vol. 8 no. 2 (April, 2015), pp. 257-288 [doi] [abs] - Stavros Komineas, Stephen P. Shipman, and Stephanos Venakides,
*Continuous and discontinuous dark solitons in polariton condensates*, Phys. Rev. B 134503, vol. 91 no. 134503 (April, 2015) [doi] [abs] - Stavros Komineas, Stephen P. Shipman, Stephanos Venakides,
*Lossless Polariton Solitons*, arXiv (2014) [arXiv:1409.4067] [abs]

- T.P. Witelski, L.N. Virgin, C. George,
*A driven system of impacting pendulums: Experiments and simulations*, Journal of Sound and Vibration, vol. 333 no. 6 (March, 2014), pp. 1734-1753 [doi] - N.S. Hall Taylor, I.J. Hewitt, J.R. Ockendon, T.P. Witelski,
*A new model for disturbance waves*, International Journal of Multiphase Flow, vol. 66 (2014), pp. 38-45 [doi]