Papers

Pure Mathematics Papers

Applied Mathematics Papers

Covid-19 Preprints

Expository Papers and Talks

Book Reviews

Unsolved Problems

Pure Mathematics Papers

  1. Beurling’s theorem for the Hardy operator on L^2[0,1] (with Jim Agler) Acta Scientiarium Mathematicarum (to appear) PDF
  2. Asymptotic Muntz-Szasz theorems (with Jim Agler) Studia Mathematica, 270(3) [2023] 301-322 PDF
  3. The Hardy-Weyl Algebra (with Jim Agler) Journal of Operator Theory, to appear PDF
  4. Free outer functions in complete Pick spaces (with Alexandru Aleman, Michael Hartz and Stefan Richter), Transactions of the American Mathematical Society, 376 (3) [2023] 1929-1978 PDF
  5. Norm Preserving Extensions of Holomorphic Functions Defined on Varieties in {\mathbb C}^n (with Jim Agler and Lukasz Kosinski) Journal of Functional Analysis, 283 (9) [2022] PDF
  6. Monomial Operators (with Jim Agler), Acta Scientiarium Mathematicarum, 88 (1-2) [2022] 371-381 PDF
  7. A generalization of Hardy’s operator and an asymptotic Muntz-Szasz theorem (with Jim Agler) Expositiones Mathematicae, 40 (4) [2022] 920-930 PDF
  8. Multiplier tests and subhomogeneity of multiplier algebras (with Alexandru Aleman, Michael Hartz and Stefan Richter), Documenta Mathematica, 27 [2022] 719-764 PDF
  9. Operator NC functions (with Meric Augat), Canadian Mathematical Bulletin 66(2) [2023] 492-508, Link to journal
  10. Complete norm preserving extensions of holomorphic functions (with Jim Agler and Lukasz Kosinski), Israel Journal of Mathematics, to appear  PDF https://rdcu.be/c1u0n
  11. The common range of co-analytic Toeplitz operators on the Drury-Arveson space (with Alexandru Aleman, Michael Hartz and Stefan Richter)  Journal d’Analyse Mathématique, to appear PDF
  12. An Hp scale for complete Pick spaces (with Alexandru Aleman, Michael Hartz and Stefan Richter) Studia Mathematica 258 (3) [2021] 343-359  PDF
  13. Symbol functions for symmetric frameworks (with Eleftherios Katsis and Derek Kitson) Journal Mathematical Analysis and Applications 497(2) [2021]  PDF  Journal Page
  14. The Krzyz Conjecture and an Entropy Conjecture (with Jim Agler) Journal d’Analyse Mathématique, 144 [2021] 207-226  PDF
  15. Weak products of complete Pick spaces (with Alexandru Aleman, Michael Hartz and Stefan Richter) Indiana University Mathematics Journal, 70 (1) [2021] 325-352 PDF
  16. Extensions of bounded holomorphic functions on the tridisk (with Lukasz Kosinski) Revista Matematica Iberoamericana, 36(3) [2020] 791-816  PDF
  17. Calcular Algebras (with Jim Agler and Nicholas Young) Proceedings Royal Irish Academy, 119A (2) [2019] 65-75  PDF
  18. Radially weighted Besov spaces and the Pick property (with Alexandru Aleman, Michael Hartz and Stefan Richter) Analysis of Operators on Function Spaces, 29-61, Trends Math [2019] Birkhauser/Springer   PDF
  19. Norm preserving extensions of bounded holomorphic functions (with Łukasz Kosiński) Transactions American Mathematical Society, 371(10) [2019] 7243-7257 PDF
  20.  Interpolating sequences in spaces with the complete Pick property (with Alexandru Aleman, Michael Hartz and Stefan Richter) International Mathematical Research Notices, [2019] (12) 3832-3854  PDF
  21. Noncommutative Functional Calculus  (with Jim Agler) Journal d’Analyse Mathématique 137(1) [2019] 211-229  PDF
  22. Non-commutative manifolds, the free square root and symmetric functions in two non-commuting variables (with Jim Agler and Nicholas Young) Transactions London Mathematical Society, 5 (1) [2018] 132-183 PDF
  23.  A multiplier algebra functional calculus (with Kelly Bickel and Michael Hartz)  Transactions of the American Mathematical Society, 370(12) [2018] 8467-8482. PDF
  24. Factorizations induced by complete Nevanlinna-Pick factors (with Alexandru Aleman, Michael Hartz and Stefan Richter) Advances in Mathematics, 335 [2018] 372-404 PDF
  25. Global holomorphic functions in several non-commuting variables II (with Jim Agler) Canadian Mathematical Bulletin, 61(3) [2018] 458–463 PDF
  26. Wandering Montel theorems for Hilbert space valued holomorphic functions (with Jim Agler) Proceedings of the American Mathematical Society, 146(10) [2018] 4353-4367 PDF  
  27. A non-commutative Julia inequality (with James Pascoe) Mathematische Annalen, 307(1) [2018] 423-446  PDF
  28. The Julia-Caratheodory theorem on the bidisk revisited (with James Pascoe) Acta Sci. Math. Szeged,  82(1-2) [2017] 165-175.  PDF
  29. The Smirnov class for spaces with the complete Pick property (with Alexandru Aleman, Michael Hartz, and Stefan Richter) Journal London Mathematical Society, 96(1) [2017]  228-242. PDF
  30. Spaces of Dirichlet series with the complete Pick property (with Orr Shalit) Israel Journal of Mathematics, 220(2) [2017] 509-530.  PDF
  31. NC-automorphisms of  nc-bounded domains (with Richard Timoney) Proceedings A of the Royal Society of Edinburgh 146(5) [2016] 1037-1045  PDF
  32. The implicit function theorem and free algebraic sets  (with Jim Agler) Transactions of the American Mathematical Society 368:5 [2016] 3157-3175   PDF
  33. Unions of Lebesgue spaces and A_1 majorants (with Greg Knese and Kabe Moen) Pacific Journal of Mathematics 280:2 [2016] 411-432 PDF
  34. Non-commutative holomorphic functions on operator domains (with Jim Agler) European Journal of Mathematics 1:4 [2015] 731-745  PDF
  35. Pick Interpolation for free holomorphic functions  (with Jim Agler) American Journal of Mathematics 137:6 [2015] 1685-1701  PDF
  36. Global holomorphic functions in several non-commuting variables  (with Jim Agler) Canadian Journal of Mathematics 67:2 [2015] 241-285  PDF   Published Version
  37. Operator Theory and the Oka Extension theorem  (with Jim Agler) Hiroshima Mathematics Journal 45:1 [2015] 9-34.  PDF
  38. Thin sequences and the Gram matrix  (with Pam Gorkin, Sandra Pott and Brett Wick) Archiv der Mathematik 103:1 [2014] 93-99 PDF
  39. Hankel vector moment sequences and the non-tangential regularity at infinity of two variable Pick functions  (with Jim Agler) Transactions American Mathematical Society 366:3 [2014] 1379-1411 PDF
  40. On the representation of Holomorphic Functions on Polyhedra (with Jim Agler and Nicholas Young) Michigan Mathematics Journal 62:4 [2013] 675-689 PDF
  41. On the Isomorphism Question for Complete Pick Multiplier Algebras (with Matt Kerr and Orr Moshe Shalit) Integral Equations and Operator Theory 76:1 [2013] 39-53 PDF
  42. The Takagi problem on the disk and bidisk  (with Jim Agler and Joe Ball) Acta Sci. Math. Szeged 79:1-2 [2013] 63-78 PDF
  43. Unitary N-dilations for tuples of commuting matrices (with Orr Moshe Shalitt) Proceedings American Mathematical Society  141(2) [2012] 563-571 PDF
  44. Operator monotone functions and Lowner functions of several variables (with Jim Agler and Nicholas Young) Annals of Mathematics 176:3 [2012] 1783-1826  PDF
  45. A Caratheodory theorem for the bidisk via Hilbert space methods (with Jim Agler and Nicholas Young) Mathematische Annalen 352:3 [2012] 581-624 PDF
  46. Algebraic pairs of isometries (with Jim Agler and Greg Knese) Journal of Operator Theory  67:1 [2012] 215-236  DVI   PDF
  47. Facial behavior of analytic functions on the bidisk (with Jim Agler and Nicholas Young) Bulletin of the London Mathematical Society  43 [2011] 478-494 PDF
  48. Polynomial inequalities for non-commuting operators (with Richard M. Timoney) Electronic Journal of Linear Algebra 20 [2010] 506-518 DVI   PDF
  49. Geometry near the torus of zero-sets of holomorphic functions (with Jim Agler and Mark Stankus) New York Journal of Mathematics 14 [2008] 517-538 PDF
  50. Cusp Algebras (with Jim Agler) Publicacions Matematiques 53 [2008] 111-118 DVI   PDF
  51. Hyperbolic Algebraic and Analytic Curves (with Jim Agler) Indiana University Mathematics Journal Vol. 56, No. 6 [2007] 2899-2933 DVI   PDF
  52. Toral Algebraic Sets and Function Theory on Polydisks (with Jim Agler and Mark Stankus) Journal of Geometric Analysis Vol. 16, No. 4 [2006] 551-562 DVI   PDF
  53. Parametrizing Distinguished varieties (with Jim Agler) Proceedings of the Conference on Recent Advances in Operator-Related Function Theory [2006], ed. A. Matheson, M. Stessin and R. Timoney, 29-34. DVI   PDF
  54. Distinguished varieties (with Jim Agler) Acta Mathematica Vol. 194 [2005] 133-153 DVI   PDF Erratum DVI   PDF
  55. Geometric Characterizations of Centroids of Simplices (with Steven G. Krantz and Harold Parks) Journal of Mathematical Analysis and Aplications Vol. 316 No. 1 [2006] 87-109 DVI   PDF
  56. Positivity aspects of the Fantappie transform (with M. Putinar) Journal d’Analyse Vol.~97 [2005] 57-82 DVI   PS   PDF
  57. Hilbert spaces of Dirichlet Series and their Multipliers Transactions of the American Mathematical Society Vol. 356 [2004] 881-893 DVI   PS   PDF
  58. Norm Preserving Extensions of Holomorphic Functions from Subvarieties of the Bidisk (with J. Agler) Annals of Mathematics Vol. 157, No. 1 [2003] 289-312 DVI   PS   PDF
  59. Interpolating Sequences on the Bidisk (with J. Agler) International Journal of Mathematics Vol. 12, No. 9 [2001] 1103-1114 DVI   PS   PDF
  60. The three point Pick problem on the Bidisk (with J. Agler) New York Journal of Mathematics Vol. 6 [2000] 227-236 DVI   PS   PDF
  61. Best approximation in the mean by analytic and harmonic functions (with D. Khavinson and H.S. Shapiro) Indiana University Mathematics Journal Vol. 49 [2000] 1481-1513 DVI   PS   PDF
  62. Complete Nevanlinna-Pick Kernels (with Jim Agler) Journal of Functional Analysis, Vol. 175 [2000] 111-124 DVI   PS   PDF
  63. A note on H2 optimal control problems with passivity constraints (with Clas Jacobson), IEEE Transactions on Automatic Control Vol. 45, No. 2, [2000] 286-290 DVI   PS   PDF
  64. Nevanlinna-Pick Interpolation on the Bidisk (\item{\em Factorizations induced by complete Nevanlinna-Pick factors}with Jim Agler) Journal f\”ur die reine und angewandte Mathematik Vol. 506 [1999] 191-204 DVI   PS   PDF
  65. Nevanlinna-Pick Kernels and Localization (with Jim Agler) Operator Theoretical Methods Proceedings 17th International Conference on Operator Theory, Timisoara, 1998, ed. A. Gheondea, R.N. Gologan and D. Timotin, 1-20 DVI   PS   PDF
  66. Solving Poisson’s Equation with Interior Conditions (with E.Yu. Backhaus and J. Fajans) Journal of Mathematical Physics, Vol. 39 [1998] 6720-6729 PDF
  67. Operators that dominate normal operators (with Jim Agler), Journal of Operator Theory Vol. 40 [1998] 385-407 DVI   PS   PDF
  68. Subnormal operators and Quadrature domains (with Liming Yang), Advances in Mathematics Vol. 127, No. 1, [1997] 52-72 DVI   PS   PDF
  69. Reflexivity of Isometries (with Wing Suet Li), Studia Mathematica Vol. 124, No. 2, [1997] 101-105 DVI   PS   PDF
  70. Boundary values and Cowen-Douglas curvature Journal of Functional Analysis Vol. 137, No. 1, [1996] 1-18 DVI   PS   PDF
  71. The range of Toeplitz operators on the ball (with Boris Korenblum) Revista Matem\’atica Iberoamericana Vol. 12, No. 1 [1996] 47-61 DVI   PS   PDF
  72. Growth of the Bergman kernel on planar regions (with Liming Yang) Illinois Journal of Mathematics Vol. 40, No. 1 [1996] 141-150 DVI   PS   PDF
  73. Cyclic subnormal operators with finite rank self-commutators (with Liming Yang) Proceedings of the Royal Irish Academy Vol. 95A, No. 2 [1995] 17 3-177 DVI   PS   PDF
  74. Bounded point evaluations on the boundary of L regions (with Liming Yang) Indiana University Mathematics Journal Vol. 43, No. 3 [1994] 857-883 DVI   PS   PDF
  75. Coefficient estimates in weighted Bergman spaces Duke Mathematical Journal Vol. 76, No. 3, [1994] 751-760  PDF
  76. Non-attainable boundary values for H^\infty functions (with Boris Korenblum) Extracta Mathematicae Vol. 8, No. 2 [1993] 138-141 DVI   PS   PDF
  77. Composition preserves rigidity (with Ben Lotto) Bulletin of the London Mathematical Society Vol. 25 No. 117 [1993] 573-576 DVI   PS   PDF
  78. Reflexivity of subnormal operators Pacific Journal of Mathematics Vol. 161 No. 2 [1993] 359-370 DVI   PS   PDF
  79. Geometric interpolation between Hilbert spaces Arkiv f\”or Matematik Vol. 30 No. 2 [1992] 321-330 DVI   PS   PDF
  80. Interpolation between weighted Hardy spaces (with Michael Cwikel and Thomas Wolff) Proceedings of the American Mathematical Society Vol. 116 No. 2 [1992] 381-388 DVI   PS   PDF
  81. Topologies on the Smirnov class Journal of Functional Analysis Vol. 104 No. 1 [1992] 229-241 DVI   PS   PDF
  82. Weighted Bergman spaces Function Spaces (K. Jarosz, ed.), Marcel Dekker, 1992, 301-306 DVI   PS   PDF  
  83. Continuity of semi-norms (with Henry Helson) Functional Analysis and Operator Theory (B.S. Yadav and D. Singh, eds.), Springer LNM 1511, 1992, 88-90
  84. Multipliers of de Branges spaces (with B. Mark Davis) Michigan Mathematical Journal Vol. 38 No. 2 [1991] 225-240 DVI   PS   PDF
  85. Common range of co-analytic Toeplitz operators Journal of the American Mathematical Society Vol. 3 No. 4 [1990] DVI   PS   PDF
  86. Quasisimilarity of rationally cyclic subnormal operators Journal of Operator Theory 24 [1990] 105-116 DVI   PS   PDF
  87. Analytic structures for subnormal operators Integral Equations and Operator Theory Vol. 13 No. 2 [1990] 251-270 DVI   PS   PDF

Applied Mathematics Papers

  1. A Superposition Model of Droplet and Aerosol Risk in the Transmission of SARS-CoV-2, J.E. McCarthy, B.D. Dewitt, B.A. Dumas, J.S. Bennett https://www.math.wustl.edu/wp/mccarthy/wp-content/uploads/2023/08/DropletsAerosols.pdf
  2. Brain Age Predicts Disability Accumulation in Multiple Sclerosis, M.R. Brier, Z. Li, M. Ly, H. Karim, L. Liang, W. Du, J.E. McCarthy, A.H. Cross, T.LS.. Benzinger, R.T. Naismith, S. Chahin, Annals of Clinical and Translational Neurology, [2023] https://doi.org/10.1002/acn3.51782
  3. Covariance-based vs. correlation-based functional connectivity dissociates healthy aging from Alzheimer disease, J.F. Strain et al., Neuroimage 261 [2022] https://doi.org/10.1016/j.neuroimage.2022.119511
  4. Modeling the relative risk of SARS-CoV-2 infection to inform Risk-Cost-Benefit Analyses of activities during the SARS-CoV-2 pandemic, J.E. McCarthy, B.D. Dewitt, B.A. Dumas, M.T. McCarthy PLoS ONE, 16(1): e0245381 [2021] Article in PLOS One
  5. Modeling autosomal dominant Alzheimer’s disease with machine learning, P.H.Luckett et al.  Alzheimer’s & Dementia: The Journal of the Alzheimer’s Association,  17(6) [2021] 1005-1016   https://alz-journals.onlinelibrary.wiley.com/doi/10.1002/alz.12259
  6. Resolution of murine toxic hepatic injury quantified with ultrasound entropy metrics, J.N. Marsh, K.M. Korneblat, T-C Liu, J.E. McCarthy, S.A. Wickline Ultrasound in Medicien and Biology, 45(10): 2777-2786 [2019] PDF https://doi.org/10.1016/j.ultrasmedbio.2019.06.412
  7. On the stability of BOLD fMRI correlations, Laumann TO, Snyder AZ, Mitra AM, Gordon EM, Gratton C, Adeyemo B, Gilmore AW, Nelson SM, Berg JJ, Greene DJ, McCarthy JE, Tagliazucchi E, Laufs H, Schlaggar BL, Dosenbach NUF, Petersen SE, Cerebral Cortex, 27(10) [2017] 4719-4732  https://doi.org/10.1093/cercor/bhw265
  8. High contrast ultrasonic imaging of resin-rich regions in graphite/epoxy composites using entropy, M.S. Hughes, J.E. McCarthy, P. Bruillard,  J.N. Marsh, and S.A. Wickline, American Institute of Physics  Conference Proceedings  1706, 120002 [2016] PDF
  9. Tau and A beta imaging, CSF measures, and cognition in Alzheimer’s Disease, M.R. Brier, B. Gordon, K. Friedrichsen, J.E. McCarthy, A. Stern, J. Christensen, C. Owen, P. Aldea, Y. Su, J. Hassenstab, N. Cairns, D.M. Holtzman, A. Fagan, J.C. Morris, B. Ances, T. Benzinger,   Science Translational Medicine,  338RA66 Link to Journal Article  PDFWall Street Journal on this paper
  10. Acoustic Firearm Discharge Detection and Classification in an Enclosed Environment, L. Luzi, E. Gonzales, P. Bruillard, M. Prowant, J. Skorpik, M. Hughes, S. Child, D. Kist, J.E. McCarthy, Journal of the Acoustical Society of America, 139 (5) [2016] 2723-2731 PDF
  11. Local and distributed PiB accumulation associated with development of preclinical Alzheimer’s disease, M.R. Brier, J.E. McCarthy, T.L. Benzinger, A. Stern, Y. Su, K.A. Friedrichsen, J.C. Morris, B.M. Ances, A.G. Vlassenko, Neurobiol Aging 38 [2016] 104-11  DOCX
  12. Partial covariance based functional connectivity computation using Ledoit-Wolf covariance,  M.R. Brier, A. Mitra, J.E. McCarthy, B.M. Ances and A.Z. Snyder, NeuroImage, 121 [2015] 29-38  Link to Journal Article  DOCX
  13. Entropy vs. Energy Waveform Processing: A comparison based on the heat equation, M.S. Hughes, J.E. McCarthy, P. Bruillard,  J.N. Marsh, and S.A. Wickline, Entropy, 17(6) [2015] 3518-3551  Link to Journal Article
  14. Additional results for “Joint entropy of continuously differentiable ultrasonic wavefomrs”, M.S. Hughes, J.E. McCarthy, J.N. Marsh, and S.A. Wickline, Journal of the Acoustical Society of America,  137, 501 [2015]  PDF
  15. Mathematical modelling of heat exchange in flash tank heat exchanger cascades, A. Korobeinikov, J.E. McCarthy,  E. Mooney,  K. Semkov, J. Varghese, Mathematics-in-Industry Case Studies Journal,  (5) [2013] 43-58  https://openscholarship.wustl.edu/cgi/viewcontent.cgi?article=1019&context=math_facpubs
  16. Joint-Entropy of Continuously Differentiable Ultrasonic Waveforms, M.S. Hughes, J.E. McCarthy, J.N. Marsh, and S.A. Wickline, Journal of the Acoustical Society of America, 133 (1)  [2013] 283-300  PDF 
  17. Model based methodology development for energy recovery in flash heat exchange systems, A. Korobeinikov, J.E. McCarthy, A. Melnik, E. Mooney, J. Rojas, K. Semkov, J. Varkese, T. Zhelev, B. Thorne, Proceedings of the Seventy-Fifth European Study Group with Industry, University of Limerick, 2010, PDF  
  18. Use of smoothing splines for analysis of backscattered ultrasonic waveforms: Application to monitoring of steroid treatment of dystrophic mice, M.S. Hughes, J.N. Marsh, K.F. Agyem, J.E. McCarthy, B.N. Maurizi, M.V. Wickerhauser, K.D. Wallace, G.M. Lanza, and S.A. Wickline, I.E.E.E. Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 58 (11) [2011] 2361-2369  PDF
  19. Improved signal processing to detect cancer by ultrasonic molecular imaging of targeted nanoparticles  Michael Hughes, Jon Marsh, Gregory Lanza, Samuel Wickline, John McCarthy, Victor Wickerhauser, Brian Maurizi, Kirk Wallace Journal of the Acoustical Society of America, Vol. 129(6) [2011] 3756-3767 http://www.ncbi.nlm.nih.gov/pmc/articlerender.fcgi?artid=PMC3143678
  20. Application of a real-time calculation of a limiting form of the Renyi entropy for molecular imaging of tumors J.N. Marsh, K.D. Wallace, J.E. McCarthy, M.V. Wickerhauser, B.N. Maurizi, G. M. Lanza, S. A. Wickline  and M.S. Hughes Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 57 No. 8 [2010] 1890-1896. PDF  
  21. Evaluation of Root-n bandwidth selectors for kernel density estimation T.D. Steury,  J.E. McCarthy, T.C. Roth, S.L. Lima and D.L. Murray Journal of Wildlife Management, 74(3) [2010] 539-548 PDF  
  22. Real-time calculation of a limiting form of Renyi entropy applied to detection of subtle changes in scattering architecture M.S. Hughes, J.E. McCarthy, M.V. Wickerhauser, J.N. Marsh, J.M. Arbeit, R.W. Fuhrhop, K.D. Wallace, T. Thomas, J. Smith, K. Agyem, G. M. Lanza, and S. A. Wickline Journal of the Acoustical Society of America, Vol. 126 [2009] 2350 et seq. PDF  
  23. Application of Renyi entropy for ultrasonic molecular imaging (with M.S. Hughes, J.N. Marsh, J.M. Arbeit, R.G. Neumann, R.W. Fuhrhop, K.D. Wallace, L. Thomas, J. Smith, K. Agyem, G. M. Lanza, and S. A. Wickline) Journal of the Acoustical Society of America, Vol. 125 [2009] 3141 et seq. PDF  
  24. Perfluorocarbon nanoparticles for molecular imaging and targeted therapeutics, M.S. Hughes, S. Caruthers, T. Tran, J.N. Marsh, K.D. Wallace, T. Cyrus, K. Partlow, M. Scott, M. Lijowski, A. Neubauer, P. Winter, G. Hu, H. Zhang, J.E. McCarthy,  B.N. Maurizi, J. Allen, C. Caradine, R. Neumann, J. Arbeit, G. M. Lanza, and S. A. Wickline) Proceedings of the IEEE 96 [2008] 397-415. PDF  
  25. Properties of an Entropy-based signal receiver with an application to ultrasonic molecular imaging, M.S. Hughes, J.E. McCarthy, J.N Marsh, J.M. Arbeit, R.G. Neumann, R.W. Fuhrhop, K.D. Wallace, D.R. Znidersic, B.N. Maurizi, S.L. Baldwin, G. M. Lanza, and S. A. Wickline Journal of the Acoustical Society of America 121 [2007] 3542-3557. PDF  
  26. Enhanced Cosmetic Outcome with Running Horizontal Mattress Sutures, B. Moody, J.E. McCarthy, J. Linder, and G. Hruza, Dermatologic Surgery Vol. 31 No. 10 [2005] 1313-1316 PDF
  27. Collagen remodeling after 585-nm pulsed dye laser irradiation: an ulrasonographic analysis (with B. Moody and G. Hruza) Dermatologic Surgery Vol. 29 [2003] 997-1000 PDF
  28. The Apical Angle: A mathematical analysis of the ellipse (with B. Moody and R. Sengelmann) Dermatologic Surgery 2001;27:61-63
  29. A note on H2 optimal control problems with passivity constraints, John E. McCarthy and Clas Jacobson, IEEE Transactions on Automatic Control Vol. 45, No. 2, [2000] 286-290 DVI   PS   PDF
  30. Equilibrium of highly asymmetric nonneutral plasmas,  J. Fajans, E.Yu. Backhaus, and J.E. McCarthy, Physics of Plasmas Vol. 6 [1999] 12-18 PDF
  31. Solving Poisson’s Equation with Interior Conditions, John E. McCarthy, E.Yu. Backhaus and J. Fajans Journal of Mathematical Physics, Vol. 39 [1998] 6720-6729 PDF

COVID-19 Preprints

  1. The effects of requiring vaccinations PDF
  2. Long range versus short range aerial transmission of SARS-CoV-2, John E. McCarthy, Bob A. Dumas, Myles T. McCarthy PDF
  3. Modeling the relative risk of SARS-CoV-2 infection to inform Risk-Cost-Benefit Analyses of activities during the SARS-CoV-2 pandemic, J.E. McCarthy, B.D. Dewitt, B.A. Dumas, M.T. McCarthy PLoS ONE, 16(1): e0245381 [2021] Article in PLOS One

Expository Papers and Talks

  • Conferences-An Owner’s Guide  Notices of the American Mathematical Society  69(9) [2022] 1518-1521 PDF
  • How often do you want to win Mathematical Intelligencer 44 [2022] 358-359 PDF
  • How to give a good Colloquium Canadian Mathematical Society Notes Vol. 31 No. 5 [1999] 3-4 DVI PS PDF
  • An entropy based approach to interpreting ultrasound signals – powerpoint slides from presentation to St. Louis Machine Learning and Data Science Meetup, December 2015 PPT

Mathematical Expository Papers:

  1. Aspects of non-commutative function theory (with Jim Agler) Concrete Operators, Vol. 3 [2016] 15-24 PDF
  2. The use of kernel functions in solving the Pick interpolation problem (with Jim Agler) In Handbook of Operator Theory  PDF
  3. Dirichlet Series (Snapshot of Modern Mathematics at Oberwolfach; 2014PDF
  4. Shining Hilbert’s lamp on the bidisk, in Lecture Notes of 2010 Valencia Winter School Contemporary Mathematics, AMS DVI   PDF
  5. What can Hilbert spaces tell us about bounded functions on the bidisk? (with Jim Agler) in Operator Theory Advances and Applications Vol. 207, Paul R. Halmos Memorial Volume Birkhauser, 2010 DVI   PDF
  6. Pick’s theorem – what’s the big deal? American Mathematical Monthly Vol. 110 No. 1 [2003] 36-45 DVI   PS   PDF
  7. On Pisier’s construction of a polynomially bounded operator not similar to a contraction MSRI Preprint 1996-017 DVI   PS   PDF
  8. Interpolation in Operator Theory (1995) DVI   PS   PDF

Book Reviews

  1. In Pursuit of Zeta-3 by Paul J. Nahin Irish Math. Soc. Bulletin 89 2022 77-79 PDF
  2. Function theory and \ell^p Spaces by Raymond Cheng, Javad Mashreghi and William T. Ross  Bull. Amer. Math. Soc. 58 [4] 2021 635-638 PDF
  3. Loewner’s theorem on monotone matrix functions by Barry Simon Bull. Amer. Math. Soc. 57 [4] 2020, 679-684.  PDF Link to review in  BAMS

Unsolved Problems

  1. The Lindelof Conjecture and BMO  February 2014. PDF  
  2. Some open problems on Dirichlet series July 2003 . DVI   PDF  
  3. Some open problems about properties (other than boundedness) preserved by Calderon’s complex method of interpolation November 1995 . DVI   PS   PDF

Any opinions, findings, and conclusions or recommendations expressed in these materials are those of the author and do not necessarily reflect the views of the National Science Foundation, National Institutes of Health, or Washington University.

©2023 John E. McCarthy, Ph.D.