Edit Profile (opens in new tab) Nelson, Paul D. Co-Author Distance Author ID: nelson.paul-d Published as: Nelson, Paul D.; Nelson, Paul Homepage: https://www.au.dk/en/paul.nelson@math.au.dk External Links: MGP · dblp Awards: Clay Research Award (2024) Documents Indexed: 30 Publications since 2011, including 11 Additional arXiv Preprints Co-Authors: 20 Co-Authors with 13 Joint Publications 549 Co-Co-Authors all top 5 Co-Authors 17 single-authored 4 Hu, Yueke 3 Blomer, Valentin 3 Jana, Subhajit 2 Michel, Philippe Gabriel 2 Saha, Abhishek 1 Assing, Edgar 1 Castryck, Wouter 1 Fouvry, Etienne 1 Harcos, Gergely 1 Holowinsky, Roman 1 Khayutin, Ilya 1 Kowalski, Emmanuel 1 Paldi, Eytan 1 Pintz, Janos 1 Pitale, Ameya 1 Polymath, D. H. J. 1 Steiner, Raphael Sebastian 1 Sutherland, Andrew V. 1 Tao, Terence 1 Venkatesh, Akshay 1 Xie, Xiaofeng all top 5 Serials 3 Duke Mathematical Journal 2 Mathematische Zeitschrift 2 Algebra & Number Theory 1 Mathematics of Computation 1 Acta Mathematica 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Mathematische Annalen 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 The Ramanujan Journal 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma all top 5 Fields 22 Number theory (11-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Topological groups, Lie groups (22-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 1 Algebraic geometry (14-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 176 times in 131 Documents Cited by ▼ Year ▼ New equidistribution estimates of Zhang type. Zbl 1307.11097 Castryck, Wouter; Fouvry, Étienne; Harcos, Gergely; Kowalski, Emmanuel; Michel, Philippe; Nelson, Paul; Paldi, Eytan; Pintz, János; Sutherland, Andrew; Tao, Terence; Xie, Xiao-Feng 38 2014 Bounds for Rankin-Selberg integrals and quantum unique ergodicity for powerful levels. Zbl 1322.11051 Nelson, Paul D.; Pitale, Ameya; Saha, Abhishek 30 2014 Equidistribution of cusp forms in the level aspect. Zbl 1273.11069 Nelson, Paul D. 20 2011 Subconvex bounds on \(\mathrm{GL}_3\) via degeneration to frequency zero. Zbl 1457.11058 Holowinsky, Roman; Nelson, Paul D. 16 2018 Subconvex equidistribution of cusp forms: reduction to Eisenstein observables. Zbl 1428.11093 Nelson, Paul D. 11 2019 The orbit method and analysis of automorphic forms. Zbl 1521.11032 Nelson, Paul D.; Venkatesh, Akshay 10 2021 Evaluating modular forms on Shimura curves. Zbl 1323.11021 Nelson, Paul D. 10 2015 Some analytic aspects of automorphic forms on \(\mathrm{GL}(2)\) of minimal type. Zbl 1443.11062 Hu, Yueke; Nelson, Paul D.; Saha, Abhishek 9 2019 Stable averages of central values of Rankin-Selberg \(L\)-functions: some new variants. Zbl 1288.11050 Nelson, Paul D. 9 2013 Microlocal lifts and quantum unique ergodicity on \(\mathrm{GL}_2(\mathbb Q_p)\). Zbl 1406.58019 Nelson, Paul D. 7 2018 Analytic isolation of newforms of given level. Zbl 1430.11052 Nelson, Paul D. 5 2017 Mass equidistribution of Hilbert modular eigenforms. Zbl 1282.11046 Nelson, Paul D. 4 2012 Bounds for twisted symmetric square \(L\)-functions via half-integral weight periods. Zbl 1457.11061 Nelson, Paul D. 3 2020 The spectral decomposition of \(|\theta |^2\). Zbl 1481.11047 Nelson, Paul D. 2 2021 Spectral aspect subconvex bounds for \(U_{n+1} \times U_n\). Zbl 1527.11039 Nelson, Paul D. 2 2023 Spectral aspect subconvex bounds for \(U_{n+1} \times U_n\). Zbl 1527.11039 Nelson, Paul D. 2 2023 The orbit method and analysis of automorphic forms. Zbl 1521.11032 Nelson, Paul D.; Venkatesh, Akshay 10 2021 The spectral decomposition of \(|\theta |^2\). Zbl 1481.11047 Nelson, Paul D. 2 2021 Bounds for twisted symmetric square \(L\)-functions via half-integral weight periods. Zbl 1457.11061 Nelson, Paul D. 3 2020 Subconvex equidistribution of cusp forms: reduction to Eisenstein observables. Zbl 1428.11093 Nelson, Paul D. 11 2019 Some analytic aspects of automorphic forms on \(\mathrm{GL}(2)\) of minimal type. Zbl 1443.11062 Hu, Yueke; Nelson, Paul D.; Saha, Abhishek 9 2019 Subconvex bounds on \(\mathrm{GL}_3\) via degeneration to frequency zero. Zbl 1457.11058 Holowinsky, Roman; Nelson, Paul D. 16 2018 Microlocal lifts and quantum unique ergodicity on \(\mathrm{GL}_2(\mathbb Q_p)\). Zbl 1406.58019 Nelson, Paul D. 7 2018 Analytic isolation of newforms of given level. Zbl 1430.11052 Nelson, Paul D. 5 2017 Evaluating modular forms on Shimura curves. Zbl 1323.11021 Nelson, Paul D. 10 2015 New equidistribution estimates of Zhang type. Zbl 1307.11097 Castryck, Wouter; Fouvry, Étienne; Harcos, Gergely; Kowalski, Emmanuel; Michel, Philippe; Nelson, Paul; Paldi, Eytan; Pintz, János; Sutherland, Andrew; Tao, Terence; Xie, Xiao-Feng 38 2014 Bounds for Rankin-Selberg integrals and quantum unique ergodicity for powerful levels. Zbl 1322.11051 Nelson, Paul D.; Pitale, Ameya; Saha, Abhishek 30 2014 Stable averages of central values of Rankin-Selberg \(L\)-functions: some new variants. Zbl 1288.11050 Nelson, Paul D. 9 2013 Mass equidistribution of Hilbert modular eigenforms. Zbl 1282.11046 Nelson, Paul D. 4 2012 Equidistribution of cusp forms in the level aspect. Zbl 1273.11069 Nelson, Paul D. 20 2011 all cited Publications top 5 cited Publications all top 5 Cited by 158 Authors 10 Nelson, Paul D. 9 Saha, Abhishek 6 Blomer, Valentin 6 Sawin, William F. 6 Young, Matthew P. 5 Garcia, Stephan Ramon 4 Hu, Yueke 4 Kowalski, Emmanuel 4 Lin, Yongxiao 4 Michel, Philippe Gabriel 4 Pitale, Ameya 4 Radziwiłł, Maksym 3 Aggarwal, Keshav 3 Fouvry, Etienne 3 Jana, Subhajit 3 Khan, Rizwanur 3 Lester, Stephen J. 3 Luca, Florian 3 Petrow, Ian N. 3 Qi, Zhi 3 Wu, Han 2 Assing, Edgar 2 Baker, Roger C. 2 Brumley, Farrell 2 Corbett, Andrew J. 2 de Vera-Piquero, Carlos 2 Drappeau, Sary 2 Holowinsky, Roman 2 Humphries, Peter J. 2 Irving, Alastair James 2 Kuan, Chan Ieong 2 Liu, Sheng-Chi 2 Martin, Kimball 2 Masri, Riad 2 Merikoski, Jori 2 Milićević, Djordje 2 Munshi, Ritabrata 2 Pal, Aprameyo 2 Sun, Qingfeng 2 Udell, Gabe 2 Xi, Ping 2 Yang, Yifan 1 Aletheia-Zomlefer, Soren Laing 1 Andersen, Nickolas 1 Atobe, Hiraku 1 Bary-Soroker, Lior 1 Belabas, Karim 1 Brazelton, Thomas 1 Brunault, François 1 Bui, Hung Manh 1 Bushnell, Colin John 1 Buttcane, Jack 1 Česnavičius, Kęstutis 1 Chen, Hongbin 1 Chen, Shih-Yu 1 Cheng, Yao 1 Cherubini, Giacomo 1 Cohen, Henri 1 Collins, Dan J. 1 Comtat, Félicien 1 Dalal, Rahul 1 Dickson, Martin J. 1 Einsiedler, Manfred Leopold 1 File, Daniel 1 Freiberg, Tristan 1 Fu, Hunglin 1 Fukshansky, Lenny 1 Gourevitch, Dmitry 1 Guan, Bin 1 Guitart, Xavier 1 Guo, Junyi 1 Halupczok, Karin 1 Harcos, Gergely 1 Henniart, Guy M. 1 Hoffstein, Jeffrey 1 Hou, Fei 1 Huang, Bingrong 1 Hulse, Thomas A. 1 Jääsaari, Jesse 1 Jackson, Julia 1 Jakicic, Victoria 1 Kahoro, Elvis 1 Kaneko, Ikuya 1 Karshon, Ido 1 Keaton, Rodney 1 Khayutin, Ilya 1 Kim, Henry H. 1 Kıral, Eren Mehmet 1 Klurman, Oleksiy 1 Knightly, Andrew H. 1 Kohama, Hayato 1 Koyama, Shin-ya 1 Kumar, Sumit 1 Le Masson, Etienne 1 Lee, Min 1 Lesesvre, Didier 1 Lin, Yi-Hsuan 1 Lowry-Duda, David 1 Mangerel, Alexander P. 1 Masdeu, Marc ...and 58 more Authors all top 5 Cited in 53 Serials 9 Algebra & Number Theory 8 Journal of Number Theory 8 Mathematische Annalen 7 Acta Arithmetica 6 Duke Mathematical Journal 6 Mathematische Zeitschrift 6 Proceedings of the London Mathematical Society. Third Series 5 Journal of the European Mathematical Society (JEMS) 4 Forum Mathematicum 4 The Ramanujan Journal 4 Forum of Mathematics, Sigma 3 Mathematika 3 Transactions of the American Mathematical Society 3 Documenta Mathematica 2 Communications in Mathematical Physics 2 Advances in Mathematics 2 American Journal of Mathematics 2 Compositio Mathematica 2 Journal of the Mathematical Society of Japan 2 Geometric and Functional Analysis. GAFA 2 Journal of the Institute of Mathematics of Jussieu 2 Research in the Mathematical Sciences 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Mathematische Semesterberichte 1 Rocky Mountain Journal of Mathematics 1 Mathematics Magazine 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Graphs and Combinatorics 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Annals of Mathematics. Second Series 1 Integers 1 Journal of the Australian Mathematical Society 1 Oberwolfach Reports 1 International Journal of Number Theory 1 Chebyshevskiĭ Sbornik 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 Forum of Mathematics, Pi 1 Annales Mathématiques du Québec 1 Research in Number Theory all top 5 Cited in 17 Fields 127 Number theory (11-XX) 12 Topological groups, Lie groups (22-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Algebraic geometry (14-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year