Jan H. Bruinier

Mathematical Physics · 2001–2014

A researcher in the Science corpus: 19 papers; trusts 27 researchers and is trusted by 38 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 54 citations into it; #340 of 8,562 by trust here, #408 by citations
• Algebra and Number Theory — 52 citations into it; #113 of 2,864 by trust here, #192 by citations
• Geometry and Topology — 43 citations into it; #1,279 of 7,422 by trust here, #726 by citations
• Discrete Mathematics and Combinatorics — 15 citations into it
• Applied Mathematics — 7 citations into it

Whom Jan H. Bruinier trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. S. Kudla
2. Jens Funke
3. Don Zagier
4. Eyal Z. Goren
5. Henri Darmon
6. Kartik Prasanna
7. Winfried Kohnen
8. Ken Ichi Ono
9. William Duke
10. Henryk Iwaniec

Who trusts Jan H. Bruinier overall

1. Ken Ichi Ono
2. Kathrin Bringmann
3. William Duke
4. Jose Ignacio Burgos Gil
5. Tonghai Yang
6. Jens Funke
7. T. Streng
8. F. Andreatta
9. U. Kuehn
10. Nils R. Scheithauer

Papers from Jan H. Bruinier's perspective

Ordered by how strongly the researchers Jan H. Bruinier trusts endorse each paper. Same corpus, a different order for every researcher.

1. Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors
2. On two geometric theta lifts
3. Traces of singular moduli
4. Traces of CM values of modular functions
5. Heegner points on
6. Heegner Divisors and Nonholomorphic Modular Forms (Compositio Mathematica)
7. Tables of Integral Transforms
8. Mock Theta Functions
9. Modular functions and the uniform distribution of CM points
10. On the lifting of elliptic cusp forms to Siegel cusp forms of degree 2n

Their papers

• KUDLA’S MODULARITY CONJECTURE AND FORMAL FOURIER–JACOBI SERIES (2014) — 46 citations
• On the converse theorem for Borcherds products (2012) — 75 citations
• Regularized theta liftings and periods of modular functions (2011) — 47 citations
• Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms (2011) — 117 citations
• The 1-2-3 of Modular Forms (2008) — 567 citations
• The 1-2-3 of Modular Forms: Lectures at a Summer School in Nordfjordeid, Norway (2008) — 177 citations
• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues (2008) — 111 citations
• Faltings heights of CM cycles and derivatives of L-functions (2008) — 105 citations
• Heegner divisors, $L$-functions and harmonic weak Maass forms (2007) — 206 citations
• Sign changes of coefficients of half integral weight modular forms (2007) — 49 citations
• CM-values of Hilbert modular functions (2006) — 65 citations
• Hilbert class polynomials and traces of singular moduli (2006) — 65 citations
• Traces of CM values of modular functions (2004) — 112 citations
• The arithmetic of the values of modular functions and the divisors of modular forms (2004) — 100 citations
• Borcherds products and arithmetic intersection theory on Hilbert modular surfaces (2003) — 76 citations
• On Borcherds Products Associated with Lattices of Prime Discriminant (2003) — 71 citations
• Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors (2002) — 440 citations
• On two geometric theta lifts (2002) — 469 citations
• Eisenstein series attached to lattices¶and modular forms on orthogonal groups (2001) — 76 citations