Jan Hendrik Bruinier | Academic Influence

Jan Hendrik Bruinier's AcademicInfluence.com Rankings

Jan Hendrik Bruinier

Mathematics

#5806

World Rank

#8141

Historical Rank

Number Theory

#202

World Rank

#259

Historical Rank

Measure Theory

#3810

World Rank

#4490

Historical Rank

mathematics Degrees

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Mathematics

Jan Hendrik Bruinier's Degrees

PhD Mathematics University of Cologne

Why Is Jan Hendrik Bruinier Influential?

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According to Wikipedia, Jan Hendrik Bruinier is a German mathematician, whose work focuses on number theory. Work In 2011, together with Ken Ono, he developed a finite algebraic formula for the values of the partition function.

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Jan Hendrik Bruinier's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The 1-2-3 of Modular Forms (2008) (454)
On two geometric theta lifts (2002) (431)
Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors (2002) (378)
Heegner divisors, $L$-functions and harmonic weak Maass forms (2007) (189)
The 1-2-3 of Modular Forms: Lectures at a Summer School in Nordfjordeid, Norway (2008) (155)
Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms (2011) (106)
Traces of CM values of modular functions (2004) (106)
Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues (2008) (95)
The arithmetic of the values of modular functions and the divisors of modular forms (2004) (92)
Faltings heights of CM cycles and derivatives of L-functions (2008) (90)
Borcherds products and arithmetic intersection theory on Hilbert modular surfaces (2003) (76)
On Borcherds Products Associated with Lattices of Prime Discriminant (2003) (69)
Eisenstein series attached to lattices¶and modular forms on orthogonal groups (2001) (66)
Hilbert class polynomials and traces of singular moduli (2006) (62)
CM-values of Hilbert modular functions (2006) (62)
On the converse theorem for Borcherds products (2012) (54)
Borcherds products and Chern classes of Hirzebruch-Zagier divisors (1999) (51)
Sign changes of coefficients of half integral weight modular forms (2007) (45)
Integrals of automorphic Green's functions associated to Heegner divisors (2002) (41)
Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues (2008) (41)
Regularized theta liftings and periods of modular functions (2011) (40)
Special Values of Green Functions at Big CM Points (2011) (39)
Nonvanishing modulo $\ell$ of Fourier coefficients of half-integral weight modular forms (1999) (36)
On the Rank of Picard Groups of Modular Varieties Attached to Orthogonal Groups (2002) (35)
The Weil representation and Hecke operators for vector valued modular forms (2007) (34)
Hilbert Modular Forms and Their Applications (2006) (34)
Heights of Kudla–Rapoport divisors and derivatives of $$L$$L-functions (2013) (32)
Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products (2016) (30)
Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications (2017) (29)
KUDLA’S MODULARITY CONJECTURE AND FORMAL FOURIER–JACOBI SERIES (2014) (28)
Class polynomials for nonholomorphic modular functions (2013) (27)
The arithmetic of Borcherds' exponents (2003) (25)
Regularized theta lifts for orthogonal groups over totally real fields (2009) (23)
Local Borcherds products (2001) (21)
Lattices with many Borcherds products (2014) (21)
Coefficients of half-integral weight modular forms (2003) (19)
On the injectivity of the Kudla-Millson lift and surjectivity of the Borcherds lift. (2006) (15)
Special cycles on toroidal compactifications of orthogonal Shimura varieties (2019) (15)
Two applications of the curve lemma for orthogonal groups (2003) (13)
Twisted Borcherds products on Hilbert modular surfaces and their CM values (2005) (13)
Computation of Harmonic Weak Maass Forms (2011) (13)
Infinite products in number theory and geometry (2004) (12)
CM values of higher automorphic Green functions for orthogonal groups (2019) (12)
Harmonic Maass forms and periods (2011) (11)
On a Theorem of Vignéras (1998) (11)
CM-VALUES OF HILBERT MODULAR FUNCTIONS INVENT. MATH. 163(2006), 229-288 (2006) (10)
Identities and congruences for Ramanujan’s ω(q) (2010) (10)
Faltings heights of big CM cycles and derivatives of L-functions (2010) (10)
CM values of automorphic Green functions on orthogonal groups over totally real fields (2010) (10)
Non-vanishing of scalar products of Fourier-Jacobi coefficients of Siegel cusp forms (1999) (9)
Borcherds products with prescribed divisor (2016) (9)
Arithmetic degrees of special cycles and derivatives of Siegel Eisenstein series (2018) (9)
Differential operators and harmonic weak Maass forms (2008) (8)
Modularity of generating series of winding numbers (2017) (8)
Theta lifts for Lorentzian lattices and coefficients of mock theta functions (2019) (6)
Congruence Properties of Values of L-Functions and Applications (1999) (6)
Cones of Heegner divisors (2017) (6)
Heegner divisors in generalized Jacobians and traces of singular moduli (2015) (5)
Corrigendum to “Coefficients of half-integral weight modular forms”: [J. Number Theory 99 (2003) 164–179] (2004) (5)
Vector valued formal Fourier-Jacobi series (2013) (5)
A CONVERSE THEOREM FOR BORCHERDS PRODUCTS ON $X_{0}(N)$ (2018) (5)
The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. (2008) (4)
Degenerate Whittaker functions for Sp_n(R). (2016) (3)
TRACES OF CM VALUES OF MODULAR FUNCTIONS AND RELATED TOPICS(Automorphic Forms and Automorphic L-Functions) (2005) (3)
Arithmetic volumes of unitary Shimura varieties (2021) (3)
Recent Work on the Partition Function (2013) (3)
Non-vanishing modulo ` of Fourier coe cients of half-integral weight modular forms (2018) (2)
Subject Index and Notation Index (2002) (1)
Deformations of Theta Integrals and A Conjecture of Gross-Zagier (2022) (1)
Arithmetic divisors on orthogonal and unitary Shimura varieties (2020) (1)
5. Chern classes of Heegner divisors (2002) (1)
N T ] 2 4 N ov 2 01 7 MODULARITY OF GENERATING SERIES OF WINDING NUMBERS (2018) (0)
L-Functions and automorphic forms : LAF, Heidelberg, February 22-26, 2016 (2017) (0)
ARITHMETIC HIRZEBRUCH-ZAGIER DIVISORS AND MODULAR FORMS (2004) (0)
ARITHMETIC HIRZEBRUCH-ZAGIER DIVISORS AND MODULAR FORMS (2004) (0)
Theta lifts for Lorentzian lattices and coefficients of mock theta functions (2020) (0)
Harmonic weak Maass forms and periods II (2022) (0)
4. Some Riemann geometry on O(2,l) (2002) (0)
On the rank of Pi ard groups of modular varieties atta hed to orthogonal groups (2018) (0)
Harmonic Maass forms and periods (2013) (0)
Complex multiplication values of modular forms (2010) (0)
N T ] 1 7 O ct 2 01 2 ON THE CONVERSE THEOREM FOR BORCHERDS PRODUCTS (2021) (0)
Integrals of Automorphi Green ' s Fun tionsAsso iated to Heegner DivisorsJan (2009) (0)
THE GROSS-ZAGIER FORMULA AND THE BORCHERDS LIFT (2009) (0)
Modular Forms (2020) (0)
1. Vector valued modular forms for the metaplectic group (2002) (0)
Modularity of generating series of winding numbers (2018) (0)
L-Functions and Automorphic Forms (2017) (0)
2. The regularized theta lift (2002) (0)
3. The Fourier expansion of the theta lift (2002) (0)
Moduli spaces and Modular forms (2022) (0)

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