Paul Loya

462 total citations
32 papers, 242 citations indexed

About

Paul Loya is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Paul Loya has authored 32 papers receiving a total of 242 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Mathematical Physics, 17 papers in Applied Mathematics and 9 papers in Computational Theory and Mathematics. Recurrent topics in Paul Loya's work include Spectral Theory in Mathematical Physics (21 papers), Advanced Operator Algebra Research (17 papers) and Holomorphic and Operator Theory (10 papers). Paul Loya is often cited by papers focused on Spectral Theory in Mathematical Physics (21 papers), Advanced Operator Algebra Research (17 papers) and Holomorphic and Operator Theory (10 papers). Paul Loya collaborates with scholars based in United States, South Korea and Germany. Paul Loya's co-authors include Jinsung Park, Klaus Kirsten, Juan B. Gil, Patrick McDonald, Raphaël Ponge and Sergiu Moroianu and has published in prestigious journals such as Annals of Physics, American Journal of Physics and American Mathematical Monthly.

In The Last Decade

Paul Loya

31 papers receiving 228 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Paul Loya United States 10 176 140 51 26 26 32 242
Yuri A. Kordyukov Russia 9 179 1.0× 116 0.8× 68 1.3× 67 2.6× 9 0.3× 53 234
Michael Grosser Austria 7 322 1.8× 115 0.8× 32 0.6× 49 1.9× 7 0.3× 15 349
Jean-Luc Sauvageot France 9 162 0.9× 42 0.3× 25 0.5× 40 1.5× 44 1.7× 26 221
Brian Jefferies Australia 10 238 1.4× 253 1.8× 57 1.1× 25 1.0× 27 1.0× 65 324
S. M. Bates United States 8 146 0.8× 93 0.7× 40 0.8× 101 3.9× 17 0.7× 13 233
Kenrô Furutani Japan 8 192 1.1× 157 1.1× 45 0.9× 84 3.2× 9 0.3× 36 263
Marius Măntoiu Romania 9 216 1.2× 102 0.7× 60 1.2× 23 0.9× 45 1.7× 39 259
Jacob S. Christiansen Denmark 8 78 0.4× 120 0.9× 38 0.7× 17 0.7× 41 1.6× 22 159
Laurent Guillopé France 7 235 1.3× 112 0.8× 44 0.9× 98 3.8× 13 0.5× 15 281
Sylvie Paycha France 10 152 0.9× 56 0.4× 16 0.3× 92 3.5× 18 0.7× 43 240

Countries citing papers authored by Paul Loya

Since Specialization
Citations

This map shows the geographic impact of Paul Loya's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Paul Loya with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Paul Loya more than expected).

Fields of papers citing papers by Paul Loya

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Paul Loya. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Paul Loya. The network helps show where Paul Loya may publish in the future.

Co-authorship network of co-authors of Paul Loya

This figure shows the co-authorship network connecting the top 25 collaborators of Paul Loya. A scholar is included among the top collaborators of Paul Loya based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Paul Loya. Paul Loya is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Loya, Paul, Sergiu Moroianu, & Raphaël Ponge. (2011). ON THE SINGULARITIES OF THE ZETA AND ETA FUNCTIONS OF AN ELLIPTIC OPERATOR. International Journal of Mathematics. 23(6). 1250020–1250020. 1 indexed citations
2.
Kirsten, Klaus & Paul Loya. (2010). Spectral functions for the Schrödinger operator on R+ with a singular potential. Journal of Mathematical Physics. 51(5). 3 indexed citations
3.
Loya, Paul. (2007). Geometric BVPs, Hardy spaces, and the Cauchy integral and transform on regions with corners. Journal of Differential Equations. 239(1). 132–195. 1 indexed citations
4.
Gil, Juan B. & Paul Loya. (2007). Resolvents of cone pseudodifferential operators, asymptotic expansions and applications. Mathematische Zeitschrift. 259(1). 65–95. 6 indexed citations
5.
Kirsten, Klaus & Paul Loya. (2007). Calculation of determinants using contour integrals. American Journal of Physics. 76(1). 60–64. 19 indexed citations
6.
Loya, Paul, Patrick McDonald, & Jinsung Park. (2006). Zeta regularized determinants for conic manifolds. Journal of Functional Analysis. 242(1). 195–229. 15 indexed citations
7.
Loya, Paul. (2005). The Index of b-Pseudodifferential Operators on Manifolds with Corners. Annals of Global Analysis and Geometry. 27(2). 101–133. 5 indexed citations
8.
Loya, Paul & Jinsung Park. (2005). On the gluing problem for Dirac operators on manifolds with cylindrical ends. Journal of Geometric Analysis. 15(2). 285–319. 4 indexed citations
9.
Loya, Paul & Jinsung Park. (2005). On gluing formulas for the spectral invariants of Dirac type operators. 11(1). 1–11. 3 indexed citations
10.
Loya, Paul & Jinsung Park. (2005). ζ-determinants of Laplacians with Neumann and Dirichlet boundary conditions. Journal of Physics A Mathematical and General. 38(41). 8967–8977. 2 indexed citations
11.
Loya, Paul. (2005). Dirichlet and Fresnel Integrals via Iterated Integration. Mathematics Magazine. 78(1). 63–67. 6 indexed citations
12.
Loya, Paul, et al.. (2004). Regularity of the heat operator on a manifold with cylindrical ends. Pacific Journal of Mathematics. 215(2). 331–345. 1 indexed citations
13.
Loya, Paul & Jinsung Park. (2004). Decomposition of the {$\zeta$}-determinant for the Laplacian on manifolds with cylindrical end. Illinois Journal of Mathematics. 48(4). 14 indexed citations
14.
Loya, Paul. (2003). Green's Theorem and the Fundamental Theorem of Algebra. American Mathematical Monthly. 110(10). 944–944.
15.
Loya, Paul, et al.. (2003). A Derivation of Taylor's Formula with Integral Remainder. Mathematics Magazine. 76(3). 217–219. 3 indexed citations
16.
Loya, Paul. (2002). On the resolvent of differential operators on conic manifolds. Communications in Analysis and Geometry. 10(5). 877–934. 16 indexed citations
17.
Gil, Juan B. & Paul Loya. (2002). On the noncommutative residue and the heat trace expansion on conic manifolds. manuscripta mathematica. 109(3). 309–327. 8 indexed citations
18.
Loya, Paul. (2002). Parameter-dependent operators and resolvent expansions on conic manifolds. Illinois Journal of Mathematics. 46(4). 6 indexed citations
19.
Loya, Paul. (2001). TEMPERED OPERATORS AND THE HEAT KERNEL AND COMPLEX POWERS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS. Communications in Partial Differential Equations. 26(7-8). 1253–1321. 20 indexed citations
20.
Loya, Paul. (2001). The Structure of the Resolvent of Elliptic Pseudodifferential Operators. Journal of Functional Analysis. 184(1). 77–135. 18 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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