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Below you will find a list of recent graduate student publications. This list includes published or accepted articles in journals, proceedings, or book chapters. For alumni, it includes the publications on the work they did during their graduate study; we do not report here on their other achievements after graduation. This list is curated by the Graduate Committee.

**A. Alhammali**, M. Peszynska, Numerical Analysis of a Parabolic Variational Inequality System Modeling Biofilm Growth at the Porescale, Numerical Methods for PDEs, accepted, 2019- Broughton, A.,
**Camacho, C.**, Paulus, J., Winarski, R., Wootton, A. Using Strong Branching to Find Automorphism Groups of n-gonal Surfaces. Special issue in honor of Kay Magaard, Albanian J. Math. Vol. 12, (2018), no. 1, 89-129 **Huanqun Jiang,**Optimal barrier strategy for spectrally negative Levy process discounted by a class of exponential Levy processes. First view, Annals of Actuarial Science, 2018.**Ali Al-Saedi**Congruences for Restricted Plane Overpartitions Modulo 4 and 8, to appear in The Ramanujan Journal, 2018.**Thomas Morrill**Two families of buffered Frobenius representations of over partitions, to appear in Annals of Combinatorics, 2018.**Jason McClelland**and David Koslicki, EMDUniFrac: Exact Linear Time Computation of the UniFrac Metric and Identification of Differentially Abundant Organisms, Journal of Mathematical Biology, to appear 2018.**Lida Bentz**and Tevian Dray, Subalgebras of the Split Octonions, Adv. Appl. Clifford Algebras, to appear 2018.**Allison Arnold-Roksandich,**Kevin James, and Rodney Keaton, Counting Eta-Quotients of Prime Level, Involve: A Journal of Mathematics 11-5 (2018), 827--844.**Eleanor Holland**and R.E. Showalter, Poro-visco-elastic compaction in sedimentary basins, SIAM Journal Math Analysis, 50 (2018), No. 2, pp. 2295--2316. [DOI: 10.1137/17M1141539]**Alex Putnam**and Tevian Dray, Classifying Linear Operators over the Octonions, Involve, to appear, 2018.**T. Costa, K. Kennedy**, M. Peszynska, Hybrid three-scale model for evolving pore-scale geometries, accepted for publication in Computational Geosciences, (2018) Volume 22: p. 925-950. https://doi.org/10.1007/s10596-018-9733-9 2018**F.P. Medina**, M. Peszynska, Stability for implicit-explicit schemes for non-equilibrium kinetic systems in weighted spaces with symmetrization, Journal of Computational and Applied Mathematics; Volume 328, 15 January 2018, Pages 216-231**Ali Al-Saedi**Using periodicity to obtain partition congruences, Journal of Number Theory 178 (2017): 158-178.- Lockwood, E. &
**Erickson, S.**(2017). Undergraduate students' intial conceptions of factorials. International Journal of Mathematical Education in Science and Technology (48(4), 499-519. - V. A. Bokil and
**P. Sakkaplangkul**, Construction and Analysis of Weighted Sequential Splitting FDTD Methods for the 3D Maxwell's Equations, accepted, International Journal of Numerical Analysis and Modeling (IJNAM), 2017. **Morales, Fernando**; Showalter, Ralph E. A Darcy-Brinkman Model of Fractures in Porous Media, Journal of Mathematical Analysis and Applications 452 (2017), pp. 1332-1358.- Lockwood, E.,
**Reed, Z.**, & Caughman, J.S. (2017). An analysis of statements of the multiplication principle in combinatorics, discrete, and finite mathematics textbooks. International Journal of Research in Undergraduate Mathematics Education. - V. A. Bokil, V. Gyrya and
**D. A. McGregor**, A Dispersion Minimized Mimetic Method for Cold Plasma, Proceedings ECCOMAS 2016. - Lockwood, E. &
**Erickson, S.**(2016). Students conceptions of factorials prior to and within combinatorial contexts. Proceedings for the Nineteenth Special Interest Group of the MAA on Research on Undergraduate Mathematics Education. **F.P. Medina**, M. Peszynska, "Hybrid modeling and analysis of multicomponent adsorption with applications to coalbed methane", Porous Media: Theory, Properties, and Applications, Nova Science Publishers, Editor: Doris Wolfe. Chapter 1, pages 1-52, 2016, ISBN 978-1-63485-474-0- M. Peszynska,
**F.P. Medina**, W.-L. Hong, M. Torres. "Reduced numerical model for methane hydrate formation under conditions of variable salinity. Time-stepping variants and sensitivity". Computation (Special Issue on Advances in Flow and Transport in Porous Media), Volume 4, Issue 1, pp 1-19, 2016. doi:10.3390/computation4010001 **T. Costa**, D. Foster, M. Peszynska, "Progress in modeling of semiconductor structures with heterojunctions" , J. Coupled Syst. Multiscale Dyn., Vol. 3, Issue 1, 2015, pp 2330- doi:10.1166/jcsmd.2015.1066**A. Wangberg**& T. Dray, $E_6$, the Group: The structure of $SL(3,{\Bbb O})$, J. Algebra Appl. 14, 1550091 (2015). arXiv:1212.3182 DOI: 10.1142/S0219498815500917- V. A. Bokil, N. L. Gibson,
**D. A. McGregor**and C. R. Woodside, Toward Estimating Current Densities in Magnetohydrodynamic Generators, XXVI IUPAP Conference on Computational Physics (CCP2014), Journal of Physics: Conference Series 640, 012032, 2015. - V. A. Bokil , N. L. Gibson, V. Gyrya and
**D. A. McGregor**, Dispersion Reducing Methods for Edge Discretizations of the Vector Wave Equation, 287(2015), 88-109, J. Comp. Phys., 2015. **T. Costa**, D. Foster, M. Peszynska, "Domain Decomposition for Heterojunction Problems in Semiconductors", VECPAR 2014, High Performance Computing for Computational Science - VECPAR 2014, 11th International Conference, Eugene, OR June 30-July 3, 2014. Lecture Notes in Computer Science, Volume 8969, Springer, 92-101.**T. A. Appuhamillage**, V. A. Bokil, E. Thomann, E. Waymire and B. Wood, Skew Dispersion and Continuity of Local Time, 156(2), pp 384-394, Journal of Statistical Physics, 2014.- M. Ossiander, M. Peszynska,
**V. Vasylkivska**, Conditional Stochastic Simulations of Flow and Transport with Karhunen-Loeve Expansions, Stochastic Collocation, and Sequential Gaussian Simulation Journal of Applied Mathematics, Volume 2014, Article ID 652594, 21 pages. - V. A. Bokil,
**O. A. Keefer**and A. C-Y. Leung, Operator Splitting Methods for Maxwell's Equations in Dispersive Media with Orientational Polarization, 263C (2014), pp. 160-188, Journal of Computational and Applied Mathematics, 2014. DOI: 10.1016/j.cam.2013.12.008. **J. Kincaid**and T. Dray, {\it Division Algebra Representations of $SO(4,2)$}, Mod. Phys. Lett. A29, 1450128 (2014). arXiv:1312.7391 DOI: 10.1142/S0217732314501284- T. Dray, J. Huerta, and
**J. Kincaid**, The $2\times2$ Lie group magic square, Lett. Math. Phys. 104, 1445--1468 (2014). DOI: 10.1007/s11005-014-0720-3 **Gelbaum, Zachary**, and**Mathew Titus**. "Simulation of fractional Brownian surfaces via spectral synthesis on manifolds." IEEE Transactions on Image Processing 23.10 (2014): 4383-4388.- N. Gibson,
**F.P. Medina**, M. Peszynska, R.E. Showalter, Evolution of phase transitions in methane hydrate, J. Math. Anal. Appl. Volume 409, Issue 2 (2014), pp 816-833, doi=10.1016/j.jmaa.2013.07.023. **C. Jennings-Shaffer**and H. Swisher, A note on the transcendence of zeros of a certain family of weakly holomorphic forms, International Journal of Number Theory, 10, no. 2 (2014), 309-317.- D. Foster,
**T. Costa**, M. Peszynska, G. Schneider, Multiscale modeling of solar cells with interface phenomena, J. Coupled Syst. Multiscale Dyn., Volume 1, Issue 2, pp 179-204, 2013, doi:10.1166/jcsmd.2013.1013 - V. A. Bokil and
**C. A. Manore**, Linking Population Dynamics and Disease Models for Multi-Host Pathogen Systems: Implications for Pathogen and Species Invasion, To appear: Special Issue on Modelling in Infectious Diseases, 21(4), pp-1. 39p. DOI: 10.1142/S0218339013400111, J. Biol. Sys., 2013. **A. Wangberg**& T. Dray, Discovering Real Lie Subalgebras of $e_6$ using Cartan Decompositions, J. Math. Phys. 54, 081703 (2013). arXiv:1212.3200 DOI: 10.1063/1.4818503**Y. Zhang**, M. Peszynska, S. Yim, Coupling of viscous and potential flow models with free surface for near and far field wave propagation, International Journal of Numerical Analysis & Modeling, Series B, Volume 4, Number 3, pp 256-282, 2013.- Albrecher, H.,
**Constantinescu, C.**, Thomann, E. (2012) "Asymptotic Results for Renewal Risk Models with Risky Investments". Stochastic Processes and its Applications, Vol 122, no 11, 3767-3789. **D. Hickethier**and T. Dray, Covariant Derivatives on Null Submanifolds, Gen. Rel. Grav. 44, 225-238 (2012).**R. Hass**and A. Faridani, Regions of Backprojection and Comet Tail Artifacts for $\pi$-Line Reconstruction Formulas in Tomography. SIAM J. Imaging Sci. 5(2012), 1159-1184;**H. W. Kim**, R. Guenther, E. Thomann (2012): "A Representation of the Solution of the Stokes Equations in the Half Space $R^n_+.$ Application to $L^\infty$ estimates on the pressure and its temporal decay."**K. S. Hickmann**, "On the interior transmission problem for a refractive index with C^2 transition to the background medium", Applicable Analysis, 91, 2012, 1675--90- S. Ehsan,
**K. Bradford**, M. Brugger, B. Hamdaoui, Y. Kovchegov, D. Johnson, and M. Louhaichi (2012): Design and Analysis of Delay-Tolerant Sensor Networks for Monitoring and Tracking Free-Roaming Animals, IEEE Transactions on Wireless Communication, Volume 11, Issue 3, 1220-1227. **K. S. Hickmann**, "The interior transmission spectrum in one dimension", Inverse Problems, 28, 2012, article id 115007 (18pp)**Morales, F.**, Showalter, R. E., Interface approximation of Darcy flow in a narrow channel, Math Meth Appl Sci, 34 (2012), 182-195.**V. Klein**, M. Peszynska, Adaptive double-diffusion model and comparison to a highly heterogenous micro-model, Journal of Applied Mathematics, vol. 2012, Article ID 938727, 26 pages, 2012, doi:10.1155/2012/938727- Escher, C.,
**Ultman, S.**: "Topological structure of candidates for positive curvature", Topology Appl. 158 (2011), no.1, 38-51. **Armentrout, M.**and Gibson, N.L., Electromagnetic Relaxation Time Distribution Inverse Problems in the Time-Domain, in Proceedings of WAVES International Conference 2011.**K. Bradford**and Y. Kovchegov, Adiabatic theorems for Markov chains and applications, Journal of Statistical Physics, Volume 143, Number 5 (2011), pp. 955-969**V. Klein**, M. Peszynska, Robust a-posteriori estimators for multilevel discretizations of reaction-diffusion systems, International Journal of Numerical Analysis and Modeling, Vol. 8, No.1, pp 1-27, 2011**Johnson, T.**, E.C. Waymire, (2011), Tree polymers in the infinite volume limit at critical strong disorder, J. Appld. Probab. Vol 48 (3) 885-891.**Ramirez, J. M.**(2011): Multi-skewed Brownian motion and diffusion in layered media., Proc. Amer. Math. Soc., 139(10) 3739-3752.- S. M. Moore,
**C. A. Manore**, V. A. Bokil, E. T. Borer and P. Hosseini, Spatiotemporal Model of Barley and Cereal Yellow Dwarf Virus Transmission Dynamics with Seasonality and Plant Competition, Bull. Math. Biol, 73(11), pp 2707-2730, 2011. Won the 2012 Lee Segel prize from the Society for Mathematical Biology **T. Appuhamillage**, V. Bokil, E. Thomann, E. Waymire, B. D. Wood (2011). "Skew Brownian Motion with Applications to Dispersion Across an Interface." Annals of Applied Probability, Vol 21, No 1, 183-214.- Peszynska, M., Trykozko, A., and
**Kennedy, K.**Sensitivity to anisotropy in non-Darcy flow model from porescale through mesoscale. Paper #46 in Proceedings of CMWR XVIII in Barcelona, June 21-24, 2010. **T. A. Appuhamillage**, V. A. Bokil, E. Thomann, E. Waymire, and B. D. Wood (2010). "Solute transport across an interface: A Fickian theory for skewness in breakthrough curves." Water Resour. Res., 46, W07511, doi:10.1029/2009WR008258.**V. Klein**, M. Peszynska, Adaptive multi-level modeling of coupled multiscale phenomena with applications to methane evolution in subsurface. Paper #47 in Proceedings of CMWR XVIII in Barcelona, June 21-24, 2010**Morales, F.**, Showalter, R. E., The narrow fracture approximation by channeled flow, Jour Math Anal Appl, 365 (2010), 320-331.**I. Bikri**, R. Guenther, E. Thomann (2010). "The Dirichlet to Neumann Map - an Application to the Stokes Problem in Half Space." Discrete and Continuous Dynamical Systems - Vol 3, Number 2, pp 221-230.**T. Appuhamillage**, D. Sheldon (2010): First Passage Time of Skew Brownian Motion, arXiv:1008.2989v2**H. Gillow-Wiles**and T. Dray, Finding 3x3 Hermitian Matrices over the Octonions with Imaginary Eigenvalues, with Imaginary Eigenvalues, Adv. Appl. Clifford Algebras, 20, 247-254 (2010).**C. Garibotti**and M. Peszynska, Upscaling Non-Darcy Flow, Transport in Porous Media, Volume 80, Issue 3 (2009), pp. 401-430.**Cook, S. A.**and T. Dray, Tensor Generalizations of Affine Symmetry Vectors, J. Math. Phys. 50, 122506 (2009).**Wangberg, A.**and T. Dray, Visualizing Lie Subalgebras using Root and Weight Diagrams, Loci 2, February 2009.- A. Faridani, D. Solmon and
**R. Hass**, Numerical and theoretical explorations in helical and fan-beam tomography. Journal of Physics: Conference Series 124 (2008) 012024 **Ramirez, J. M.**, E. Thomann, E. Waymire, J. Chastenet, B. Wood (2007): A note on the theoretical foundations of particle tracking methods in heterogeneous porous media, Water Resour. Res. Vol 44, doi10.1029/2007WR005914**Ramirez, J.M.**, E. Thomann, E. Waymire, R. Haggerty, B. Wood (2006): A generalized Taylor-Aris formula and skew diffusion, J. Multiscale Modeling and Simulation, SIAM, vol 5 (3), 786-801.**J. Ramirez**, Multiplicative cascades applied to PDEs (two numerical examples). J. Comput. Phys. 214 (2006), no. 1, 122–136.**Constantinescu, C.**and E. Thomann. An Integro-Differential Equation for a Sparre Andersen Model with Investments. ARCH 2007.1 Proceedings 40th Actuarial Research Conference Université de Montréal Montréal, Canada, August 2006.**Constantinescu, C.**and E. Thomann. Analysis of the ruin probability using Laplace transforms and Karamata-Tauberian theorem. ARCH 2005.1 Proceedings 39th Actuarial Research Conference, Iowa City, Iowa, 2004, 1, 2005.