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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
  • Prediction Intervals for Artificial Neural Networks (with J.T. G. Hwang), Journal of American Statistical Association (1997), vol. 92 (2), 748-756.
  • A Comparison Study on Models and Fitting Procedures for Biphasic viral Dynamics in HIV-1 Infected Patients Treated with Antiviral Therapies (with H. Wu), Biometrics (2000), vol. 56 (1), 293-300.
  • 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.
  • Testing Independence for Bivariate Current Status Data (with W. Wang), Journal of American Statistical Association (2004), vol. 99, 145-155.
  • 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.
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 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).
  • Equivariant K-theory and Richardson varieties, J. Alg., 260 (2003), 230-260 (with P. Liittelmann).
  • A geometric approach to Standard Monomial Theory, Representation Theory (Electronic Journal), (2003), 651-680 (with M. Brion).
  • Standard monomial Theory for Bott-Samelson varieties, Compositio Math., 130 (2002), 293-218 (with P. Littelmann and P. Magyar).
 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
  • “Cohomology of tails, Tate – Vogel cohomology, and noncommutative Serre duality over Koszul quiver algebras”. J. Algebra 280 (2004), 58-83.
  • (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
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
  • 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, Discrete analog of projective equivalence and integrable billiard tables, Ergodic Theory Dynam. Systems, 28 (2008), no. 5, 1657--1684
  • 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
  • V. Matveev, P. Topalov, Quantum integrability of Beltrami-Laplace operator as geodesic equivalence, Math. Z., 238 (2001), no. 4, 833-866
 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