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Selected Publications
  • Remarks on Wilson loops and Seifert loops in Chern-Simons theory, in Chern-Simons Gauge Theory: 20 Years After, ed. by J. Andersen, H. Boden, A. Hahn, and B. Himpel, AMS/IP Studies in Adv. Math., Vol. 50, AMS, Providence, RI, 2011.
  • GUTs and exceptional branes in F-theory -- II: Experimental Predictions (with J. Heckman and C. Vafa), JHEP 0901 (2009) 059.
  • GUTs and exceptional branes in F-theory -- I (with J. Heckman and C. Vafa), JHEP 0901 (2009) 058.
  • Non-Abelian localization for Chern-Simons theory (with E. Witten), J. Differential Geom. 70 (2005) 183--323.
  • Toric duality is Seiberg duality (with M.R. Plesser), JHEP 0112 (2001) 001.
 Beasley,Chris
  • A Class of Discrete Transformation Survival Models with Application to Default Probability Prediction. (with S. Tian, Y. Yu and H. Guo) Journal of American Statistical Association (2012), Volume 107, Issue 499, 990-1003.
  • Regression Analysis based on Semicompeting Risks Data (with J. Hsieh and W. Wang). Journal of the Royal Statistical Society: Series B (Statistical Methodology) (2008), Volume 70, Number 1, pp. 3-20.
  • Testing Independence for Bivariate Current Status Data (with W. Wang), Journal of American Statistical Association (2004), vol. 99, 145-155.
  • Assessing Antiviral Potency of Anti-HIV Therapies in Vivo by Comparing Viral Decay Rates in Viral Dynamic Models (with H. Wu), Biostatistics (2001), vol. 2 (1), 13-29.
  • Prediction Intervals for Artificial Neural Networks (with J.T. G. Hwang), Journal of American Statistical Association (1997), vol. 92 (2), 748-756.
 Ding,Aidong
  • A Counter Example To Dye's Theorem For All Non-Separable Measure Algebras, Prob. Th. Rel. Fields 72, (1986) 471-475.
  • Complementing Sets of Integers - A result from Ergodic Theory, with A. Hajian and S. Kakutani, Japanese Journal of Mathem atics, V.
  • A Family of Generalized Riesz Products, with A. Dooley, Canadian Journal of Mathematics Vol 48 (2) 1996, 302-315.
  • Solution to a problem of Sands on the factorizations of groups, with V. Prasad, Indag. mathem.,N.S., {\bf 14} (1), 2003, 11-14.
  • An Aperiodic Tiling of The Plane from a Dynamical System via Beatty Sequences joint with J. Navarro and V. Prasad, Recent Progress in Dynamics, MSRI Publications Vol 54, 2007, pg 223-241.
 Eigen,Stanley
  • Integral Closure of Modules and Whitney Equisingularity, Inventiones, vol 107, fasc 2 p301-322, 1992.
  • Polar Multiplicities and Equisingularity of Map Germs, Topology v32, #1, p185-223, 1993.
  • Specialization of integral dependence for modules, with S. Kleiman, Inventiones math. 137, 541-574 1999.
  • Polar methods, invariants of pairs of modules and equisingularity, Real and Complex Singularities (Sao Carlos, 2002), Ed. T.Gaffney and M.Ruas, Contemp. Math.,\#354, Amer. Math. Soc., Providence, RI, June 2004, 113-136.
  • The Multiplicity Polar Theorem and Isolated Singularities, J. Algebraic Geom. 18 (2009), no. 3, 547--574.
 Gaffney,Terence
  • On a class of Golod homomorphisms (with P. Salmon), Math. Scand. 60 (1980), 5-14.
  • Exp and log, Polymath (2005), 1-11.
  • Maximal Poincare' series and bounds for Betti numbers, Rend. del Sem. Mat. Univ. Pol. Torino, vol 64, 4 (2006) Syzygy 2005, 65-76.
  • Determinants and the volumes of parallelotopes and zonotopes (with N. Krikorian), Lin. Alg and App, 433 (2010), 28-40.
  • Monotonicity of sequences approximating e^x, Math. Mag., vol. 83, No. 5, (2010).
 Gover,Eugene
  • Compressed algebras: Artin algebras having given socle degrees and maximal length. Trans. Amer. Math. Soc. 285 (1984), 337--378.
  • Power Sums, Gorenstein Algebras, and Determinantal Varieties (with V. Kanev). Appendix C by Iarrobino and Steven L. Kleiman, Lecture Notes in Mathematics, 1721. Springer-Verlag, Berlin, 1999. xxxii+345 pp. ISBN: 3-540-66766-0
  • The family G_T of graded Artinian quotients G_T of k[x,y] of given Hilbert function (with J. Yameogo), Communications in Algebra, 31 (2003), 3863–3916.
  • Pairs of commuting nilpotent matrices, and Hilbert function (with R. Basili), J. Algebra 320 (2008), 1235–1254.
  • Reducible family of height three level algebras (with M. Boij), Journal of Algebra 321 (2009), 86–104.
 Iarrobino,Anthony
  • Vanishing powers of the Euler class, Topology 40(2001), 871-926.
  • (with Neal MacMillan), The topological completion of a bilinear form, Topology and its Applications 118(2002), 337-344.
  • (with C. Johnston) A Hamiltonian with periodic orbits having several delays, J. Diff. Eq. 222, No.2, (2006), 425-438.
  • The Euler class in homological algebra, J. Pure and Appl. Alg. 215(2011), 2628-2638.
  • Powers of the Euler class, Adv. in Math. 229(2012), 1949-1975.
 Jekel,Solomon
  • A convergence result on nonlinear dynamics arising in highspeed networking (with M. Corless and R. Shorten), Automatica, vol. 45, no. 5, 1207-1214 (2009).
  • Stability criteria for switched and hybrid systems (with R. Shorten, F. Wirth, O. Mason, K. Wulff), SIAM Review vol. 49, no. 4, 545 -- 592 (2007).
  • Multiplicativity of completely bounded p-norms implies a new additivity result (with I. Devetak, M. Junge, M. B. Ruskai), Communications in Mathematical Physics vol. 266, no.1, 37--63 (2006).
  • Inequalities for trace norms of 2 x 2 block matrices, Communications in Mathematical Physics vol. 242, 531--545 (2003).
  • Minimal entropy of states emerging from noisy channels (with M. B. Ruskai), IEEE Transactions on Information Theory vol. 47, no. 1, 192 -- 209 (2001).
 King,Christopher
Kinser,Ryan
  • Singular loci of Schubert varieties, Progress in Math., 182, Birkh ̈auser (2000), (with S. Billey).
  • Standard monomial Theory - Invariant theoretic approach (with K.N. Raghavan), En- cyclopaedia of Mathematical Sciences, vol 137, Springer (2008)
  • Flag varieties - an interplay of Geometry, Combinatorics & Representation-theory (with Brown), Hindusthan
  • Singular locus of a Schubert variety, Bull. A.M.S., Vol. 11 (1984), 363-366 (with C.S.Seshadri).
  • Geometry of G/P - V, J.Alg., Vol 100 (1986), 462-557 (with C.S.Seshadri).
 Lakshmibai,Venkatraman
  • Uniqueness property for spherical homogeneous spaces. Duke Math J., 147(2009), n.2, 315-343
  • Proof of the Knop conjecture. Ann. Inst. Fourier, 59(2009), n.3, 1105-1134.
  • Quantized symplectic actions and W-algebras. J. Amer. Math. Soc. 23(2010), 35-59.
  • Finite dimensional representations of W-algebras. Duke Math J. 159(2011), n.1, 99-143.
  • Finite W-algebras. Proceedings of the International Congress of Mathematicians, Hyderabad, India, 2010, p. 1281-1307.
 Loseu,Ivan
  • Log efficient search for significant variables of a linear model, Journal of Statistical Planning and Inference, vol. 100, 2001, 269- 280.
  • Jaynes principle in testing significant variables of a linear model, Random Operators and Stochastic Equations, vol. 6, 1996, 311-330, with H. Sadaka.
  • Sequential Search for Significant Variables of an Unknown Function, Problems of Information Transmission, 33, No. 4, 1997, 88-107, with Tsitovich I.I.
  • Fitting Diffusion and Trend via Mercer Expansion, Proceedings, 12th European Simulation Symposium, ESS 2000 (Simulation in Industry) Sept. 28-30, Hamburg Germany, Soc, with Bayborodin O., Golan D., Mirchev R.
  • Modeling and Tracking of the Individual Protein Molecule", G. Govaert et al ed., Proceedings of ASMDA-10 (Applied Stochastic Modeling and Data Analysis) Conference, Compiegne, France, June 12-15, 2001, with T. Korobeinikova, D. Golan and R. Mirchev, 2, 62
 Malioutov,Mikhail
  • (with R. Martínez Villa) “Stable projective homotopy theory of modules, tails, and Koszul duality”, Comm. Algebra 38 (2010), no. 10, 3941-3973.
  • (with J.R. Strooker) “Linkage of modules”. J. Algebra, 271 (2004),
  • (with L. Avramov) “Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension”, Proc. London Math. Soc. 85 (2002), 393-440.
  • "A remarkable property of the (co)syzygy modules of the residue field of a non-regular local ring", J. Pure Appl. Alg. 110 (1996), 1-9.
  • (with J. Herzog) "Gluing Cohen - Macaulay modules with applications to quasihomogeneous complete intersections with isolated singularities", Comm. Math. Helv. 68 (1993) 365-384.
 Martsinkovsky,Alexander
  • Numerical Invariants of Perverse Sheaves”, Duke Math. Journal, vol. 73, no. 2, 307-370, (1994)
  • Lê Cycles and Hypersurface Singularities, Lecture Notes in Mathematics, vol. 1615, Springer-Verlag, 130 pages, (1995)
  • Numerical Control over Complex Analytic Singularities, Memoirs of the American Mathematical Society, No. 778, AMS, 268 pages, (2003)
  • Euler Obstruction and Functions with Isolated Singularities”, with J.-P. Brasselet, Parameswaram , and J. Seade, J. London Math. Soc. (2), vol. 70, 59-76, (2004)
  • Hypersurface Singularities and Milnor Equisingularity”, with Lê, D. T., Pure and Applied Mathematics Quarterly, vol. 2, no. 3, special issue in honor of Robert MacPherson’s 60th birthday, 893-914, (2006)
Massey,David
  • The behavior of the Laplacian on weighted Sobolev spaces, Comm. Pure Appl. Math. 32 (1979), 783-795.
  • Elliptic differential operators on noncompact manifolds (with R. Lockhart), Ann. Scuola Norm. Sup. Pisa Ser. IV 12 (1985), 409-447.
  • Conformal metrics in R^2 with prescribed Gaussian curvature and positive total curvature, Indiana Univ. Math. J. 34 (1985), 97-104.
  • Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds (with P. Aviles), J. Diff. Geom. 27 (1988), 225-239.
  • Partial Differential Equations: Methods and Applications, Second Edition, Prentice Hall, 2003.
 McOwen,Robert
  • R. Movassagh (with S. Bravyi, L. Caha, D. Nagaj, P.W. Shor), "Criticality without frustration for quantum spin-1 chains" Phys. Rev. Lett. 109, 207202 (2012)
  • R. Movassagh (with J. Chen, E. Hontz, J. Moix, M. Welborn, T. Van Voorhis, A. Suárez, A. Edelman )"Error analysis of free probability approximations to the density of states of disordered systems" Phys. Rev. Lett. 109, 036403 (2012)
  • R. Movassagh, Alan Edelman, "Density of States of Quantum Spin Systems from Isotropic Entanglement" Phys. Rev. Lett. 107, 097205 (2011)
  • R. Movassagh, E. Farhi, J. Goldstone, D. Nagaj, T. J. Osborne, P. W. Shor, "Unfrustrated Qudit Chains and their Ground States" Phys. Rev. A 82, 012318 (2010)
 Movassagh,Ramis
Petrov,Leonid
  • Minimum cutsets in hypercubes, Disc. Math., 289/1-3 (2004)
  • Congestion-free routing of linear complement permutations, SIAM J. Disc. Math. 11 No. 3 (1998)
  • Symmetric vertex partitions of hypercubes by isometric trees, J. Combi- natorial Theory , Ser. B 54, No. 2 (1992)
  • Symmetric edge decompositions of hypercubes, Graphs and Combina- torics 7 (1991)
  • Sequences of Betti numbers, J. Algebra 66, No. 1 (1980)
 Ramras,Mark
  • D. Rupel, Proof of the Kontsevich non-commutative cluster positivity conjecture, C. R. Math. Acad. Sci. Paris 350 (2012), no. 21-22, pp. 929-932.
  • D. Rupel, On a quantum analogue of the Caldero-Chapoton formula, Int. Math. Res. Not. , 2011, no. 14, pp. 3207-3236.
 Rupel,Dylan
  • M. Malyutov, H. Sadaka “On Capacity of Screening Experiments under Linear Programming Analysis,” 6th St. Petersburg Workshop on Simulation, 2009, pp. 1041-1045.
  • Shafai, B., Sadaka, H., Sipahi, R., Robust PI Observer Design for Linear Time-Delay Systems, IEEE Multi-conference on Systems and Control, Saint Petersburg, Russia, July 2009, pp. 1209 - 1213.
  • Shafai, B., Sadaka, H., Sipahi, R., Design of a PI Observer for Disturbance Attenuation and Fault Detection in Linear Time-Delay Systems, invited session on ‘Stability and control of time-delay Systems’, Asian Control Conference, Hong Kong, August 2009
  • Sadaka, H., Shafai, B., Sipahi, R., PI Observer Design for Linear Time-Delay Systems, World Automation Congress, Waikoloa, Hawaii, 2008, pp. 1 - 6.
  • Sadaka, H., Shafai, B., Sipahi, R., Chen, J., Robust Stability and Stability Radius for Linear Multiple Time Delay Systems, IFAC Time Delay Systems Workshop, Nantes, France, 2007.
 Sadaka,Hanai
  • Reflection groups and polytopes over finite fields, I, II, III (with B.Monson), Advances in Applied Mathematics 33 (2004), 290--317; 38 (2007), 327--356; and 41 (2008), 76--94.
  • Chiral polyhedra in ordinary space, I, II, Discrete & Computational Geometry 32 (2004), 55--99; and 34 (2005), 181--229.
  • Abstract Regular Polytopes (with P.McMullen), Encyclopedia of Mathematics and its Applications, Volume 92, Cambridge University Press (Cambridge -- New York, 2002), 566 pp.
  • Higher toroidal regular polytopes (with P.McMullen), Advances in Mathematics 117 (1996), 17--51.
 Schulte,Egon
  • ''Computer Analysis of the F-111 Wing Assembly'', (with J. Antebi, E. Rossow and I. Shah), Amer. Soc. Civil Eng. J. of Struct. Div. 92, pp. 405-424, (1966)
  • ''A Complete Moduli Space for K3 Surfaces of Degree 2'', Ann. of Math. 112, pp. 485-510 (1980)
  • 'Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems'', (with D. Mumford), Comm. on Pure and Applied Math. v. XLII, n.5, pp.577-684 (July, 1989)
  • ''Segmentation of MR Images using Curve Evolution and Prior Information'', (with M. Desai and H. Pien), International Journal of Pattern Recognition
  • "A metric on shape spaces with explicit geodesics", (Jointly with L. Younes, P.W. Michor and D. Mumford), Rendiconti Lincei Matematicae Applicazioni, March, 2008
 Shah,Jayant
Suciu,Alex
  • G. Tadmor, O. Lehmann, B. R. Noack and M. Morzynski, Mean Field Representation of the Natural and Actuated Cylinder Wake, Physics of Fluids, 22 (2010), No. 034102.
  • L. Mirkin and G. Tadmor, Imposing FIR Structure on H2 Preview Tracking and Smoothing Solutions, SIAM J. Control 48 (2009), 2433 – 2460.
  • B.R. Noack, M. Schlegel, B. Ahlborn, G. Mutschke, M. Morzynski, P. Comte & G. Tadmor, A finite-time thermodynamics of unsteady flows. J. Non-Equilib. Thermodyn., 33 (2008), 103-148
  • M. Pastoor, L. Henning, B.R. Noack, R. King & G. Tadmor, Feedback shear layer control for bluff body drag reduction. J. Fluid Mechanics 608 (2008), 161 – 196
  • G. Tadmor and L. Mirkin, H∞ Control and Estimation with Preview - Part I: Matrix ARE Solutions in Continuous Tim; Part II: Fixed-Size ARE Solutions in Discrete Time, IEEE Trans. Automatic Control 50 (2005), pp. 19–28 and 29–40.
 Tadmor,Gilead
Todorov,Gordana
Toledano Laredo,Valerio
  • G. Popov, P. Topalov, Invariants of isospectral deformations and spectral rigidity, Comm. Partial Differential Equations, 37(2012), no. 3, 369-446
  • K. Kiyohara, P. Topalov, On Liouville integrability of h-projectively equivalent Kähler metrics, Proc. Amer. Math. Soc., 139 (2011), no. 1, 231-242
  • A. Constantin, T. Kappeler, B. Kolev, P. Topalov, On geodesic exponential maps of the Virasoro group, Annals of Global Analysis and Geometry, 31 (2007), no. 2, 155-180
  • T. Kappeler, P. Topalov, Global well-posedness of KdV in H^{-1}(T,R), Duke Journal of Mathematics, 135 (2)(2006), 327-360
  • P. Topalov, Commutative conservation laws for geodesic flows of metrics admitting projective symmetry, Math. Res. Lett., 9 (2002), no. 1, 65-72
 Topalov,Peter
  • Localization algebras and deformations of Koszul algebras (with T. Braden, A. Licata, C. Phan and N. Proudfoot). Selecta Mathematica, 17 (2011) 533–572.
  • The geometry of Markov traces (with G. Williamson), to appear in Duke Mathematics Journal.
  • 2-block Springer fibers: convolution algebras and coherent sheaves (with C. Stroppel), to appear in Commentarii Mathematici Helvetici.
  • Gale duality and Koszul duality (with T. Braden, A. Licata, and N. Proudfoot). Advances in Mathematics, 225 (2010) 2002–2049.
  • A geometric model for the Hochschild homology of Soergel bimodules (with G. Williamson). Geometry and Topology, 12 (2008) 1243–1263.
Webster,Ben
Weitsman,Jonathan
  • Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients (with H. Derksen). J. Amer. Math. Soc. 13 (2000), 467--479
  • "Cohomology of vector bundles and syzygies,'' Cambridge Tracts in Mathematics, no. 149, Cambridge University Press (2003)
  • Cluster complexes via semi-invariants (with K. Igusa, K. Orr, G. Todorov), Compositio Math, 145(4) (2009), 1001-1034
  • Quivers with potentials and their representations II: Applications to Cluster Algebras (with H. Derksen and A. Zelevinsky), J. Amer. Math. Soc, 23 No. 3 (2010), 749-790
  • On the existence of pure resolutions (with D. Eisenbud and G. Floystad), to appear in Ann. Inst. Fourier
 Weyman,Jerzy
  • Discriminants, Resultants and Multidimensional Determinants (with I. M. Gelfand and M. M. Kapranov), Birkhäuser Boston, 1994, 523 pp.; reprint: Modern Birkhäuser Classics, Birkhäuser Boston, 2008.
  • Tensor product multiplicities, canonical bases and totally positive varieties (with A. Berenstein), Invent. math. 143 (2001), no.1, 77-128
  • Y-systems and generalized associahedra (with S. Fomin), Annals of Math., 158 (2003), No. 3, 977--1018
  • Cluster algebras II: Finite type classification (with S. Fomin), Invent. math., 154 (2003), no.1, 63-121
  • Quivers with potentials and their representations II: Applications to cluster algebras (with H. Derksen and J. Weyman), J. Amer. Math. Soc. 23 (2010), No. 3, 749-790
 Zelevinsky,Andrei