Wataru Takeda has completely solved the polynomial analogue of the long-standing Brocard–Ramanujan problem, a breakthrough 150 years after its original proposal. The study resolves the problem for polynomials over finite fields and was published in the journal Finite Fields and Their Applications.
SourceToho University·JournalFinite Fields and Their Applications·TypeObservational study·DateFeb 25, 2026
Apple iPhone 17 Pro
Apple iPhone 17 Pro delivers top performance and advanced cameras for field documentation, data collection, and secure research communications.
Ken Ono, a renowned number theorist, has been named a Cozzarelli Prize finalist for his research on prime numbers and partitions. His paper, 'Partitions Detect Primes,' reveals a new way of understanding prime numbers using the mathematical concept of partitions.
SourceUniversity of Virginia College and Graduate School of Arts & Sciences·DateMar 19, 2025
Researchers have developed big algebras, a new mathematical tool that connects abstract algebra and geometry, enabling unprecedented insights into symmetry groups. This breakthrough has the potential to strengthen the connection between quantum physics and number theory.
SourceInstitute of Science and Technology Austria·JournalProceedings of the National Academy of Sciences·TypeMeta-analysis·DateSep 12, 2024
Researchers discovered a deep connection between the sums-of-digits function from number theory and phenotype mutational robustness in genetics. The maximum robustness is proportional to the logarithm of the fraction of all possible sequences that map to a phenotype, with a correction given by the sums of digits function s_k(n).
SourceUniversity of Oxford·JournalJournal of The Royal Society Interface·DateAug 1, 2023
Brandon Levin, an assistant professor of mathematics at Rice University, has won a prestigious National Science Foundation CAREER Award to pursue his research on major unsolved problems in number theory. He aims to build theoretical bridges between arithmetic world and representation theory.
Apple MacBook Pro 14-inch (M4 Pro)
Apple MacBook Pro 14-inch (M4 Pro) powers local ML workloads, large datasets, and multi-display analysis for field and lab teams.
A recent study by Tokyo University of Science researchers provides theoretical foundations for effective parameter tuning in the Bernoulli shift map. They used modular arithmetic to determine optimal parameter values for preserving chaos, with implications for other chaotic maps like the tent and logistic maps.
SourceTokyo University of Science·JournalChaos Solitons & Fractals·TypeComputational simulation/modeling·DateNov 3, 2022
A Tel Aviv University study challenges the widely-held assumption that COVID-19 originated from bats, instead highlighting their highly effective immune system. The researchers found that many reported findings on bat-borne viruses are based on antibody presence or PCR tests rather than actual virus isolation.
SourceTel-Aviv University·JournaliScience·DateSep 4, 2022
A new study published in PLOS One suggests that the number of people believing in conspiracy theories has not increased over time. The research, conducted by University of Miami academics and supported by a U-LINK grant, analyzed data from polls dating back to the 1960s and found no significant increase in belief in these theories. Des...
SourceUniversity of Miami·JournalPLOS ONE·TypeSurvey·DateJul 20, 2022
Researchers reexamined hundreds of experiments on neural activity and consciousness, finding that experiment parameters determine results. The study used artificial intelligence to predict which theory would be supported by each experiment with 80% success.
SourceTel-Aviv University·JournalNature Human Behaviour·DateMar 16, 2022
SAMSUNG T9 Portable SSD 2TB
SAMSUNG T9 Portable SSD 2TB transfers large imagery and model outputs quickly between field laptops, lab workstations, and secure archives.
A RUDN University physicist simplified the Einstein-Lovelock theory for black holes by presenting its geometry in a compact form with a limited number of terms, sufficient to describe observed values. This simplification could aid in studying black holes in theories with quantum corrections.
SourceRUDN University·JournalPhysics Letters B·DateOct 3, 2020
Gordon examines secure computation to leverage user data without compromising privacy. He investigates three key tasks: handling large volumes of data with few parties, interacting with a large number of parties, and storing dynamic data in a distributed plane.
Researchers at FAU have decoded the structure and process behind formation of highly ordered clusters. They discovered over 25 different magic number colloidal clusters with unique shapes and symmetries.
SourceFriedrich-Alexander-Universität Erlangen-Nürnberg·JournalNature Communications·DateDec 13, 2018
The Biophysical Society has announced the winners of its Outstanding Poster Award, recognizing outstanding scientific achievements in biophysics. The student winners were selected for their research on HERG kinetics, while the postdoctoral winner was recognized for her work on cardiac resynchronization therapy.
A team of physicists has calculated the size of scale-free and small-world networks, which have six degrees of separation. This method can be applied to modeling complex networks and predicting their capacity to tolerate faults.
SourceSpringer·JournalThe European Physical Journal B·DateMay 22, 2018
Davis Instruments Vantage Pro2 Weather Station
Davis Instruments Vantage Pro2 Weather Station offers research-grade local weather data for networked stations, campuses, and community observatories.
The Mathematical Association of America (MAA) has awarded the Euler Book Prize to Matt Parker for his book 'Things to Make and Do in the Fourth Dimension' and the Beckenbach Book Prize to Roland van der Veen and Jan van de Craats for their book 'The Riemann Hypothesis: A Million Dollar Problem',
SourceMathematical Association of America·DateJan 4, 2018
A new study by Loris Ferrari examines the practical consequences of two entropy theories in small systems. The research finds that certain quantities can be measured experimentally to assess which theory is more accurate, resolving a long-standing debate between Ludwig Boltzmann and Willard Gibbs.
SourceSpringer·JournalThe European Physical Journal Plus·DateDec 22, 2017
A new computational framework allows working with infinities and infinitesimals numerically, giving unexpected answers to two long-standing Hilbert problems. The Infinity Computer supercomputer enables numerical computations with infinite and infinitesimal numbers, previously only symbolically represented.
SourceLobachevsky University·JournalEMS Surveys in Mathematical Sciences·DateNov 22, 2017
Researchers propose a new type of traveling wave pattern that can adapt to varying system sizes, shedding light on bacterial cell division processes. The 'stretchable map' theory offers insights into protein self-organization and surface mapping on growing cells.
SourceIOP Publishing·JournalNew Journal of Physics·DateDec 15, 2016
Apple iPad Pro 11-inch (M4)
Apple iPad Pro 11-inch (M4) runs demanding GIS, imaging, and annotation workflows on the go for surveys, briefings, and lab notebooks.
DeMarco's work on dynamical systems has led to the emergence of arithmetic dynamics, a field that connects number theory with mathematical structures. Her research has also shed light on connections between dynamical systems and elliptic curves in arithmetic geometry.
Henri Darmon receives 2017 AMS Cole Prize for his work on the Birch and Swinnerton-Dyer conjecture, a major open problem in mathematics. His research casts new light on the conjecture and possible extensions of complex multiplication theory.
Arthur receives prize 'for his fundamental contributions to number theory and harmonic analysis.' His work on the Arthur-Selberg trace formula has profound connections between properties of numbers and geometric shapes.
Researchers found that the moon's uppermost surface materials are completely turned over in approximately 80,000 years, much faster than previously estimated. This discovery has significant implications for future human exploration and development of the Moon.
SourceArizona State University·JournalNature·DateOct 13, 2016
Researchers analyzed 20 years of data on S\¼P 1,500 firms and found that a firm's efforts to promote gender diversity in management may need to redouble once initial progress is made. This could result in women remaining an isolated minority in top management.
SourceWiley·JournalStrategic Management Journal·DateNov 16, 2015
Aranet4 Home CO2 Monitor
Aranet4 Home CO2 Monitor tracks ventilation quality in labs, classrooms, and conference rooms with long battery life and clear e-ink readouts.
Undergraduates at Wake Forest University will conduct original mathematical research under the guidance of Assistant Professor Jeremy Rouse and Visiting Assistant Professor Katherine Thompson. The program, WADE INTO Research, aims to develop students' skills in mathematics and prepare them for future careers.
A team of mathematicians has proved the Umbral Moonshine Conjecture, offering a finite calculation for this complex pattern. The conjecture has potential applications in various areas of math and physics.
Undergraduate Levent Alpoge is awarded the 2015 Morgan Prize for his contributions to number theory, probability, and combinatorics. He has authored seven research papers before even beginning graduate studies.
GoPro HERO13 Black
GoPro HERO13 Black records stabilized 5.3K video for instrument deployments, field notes, and outreach, even in harsh weather and underwater conditions.
Researchers Jan Boeyens and Francis Thackeray found a connection between the Golden Ratio, space-time, and a biological species constant. The study suggests that concepts associated with relativity and quantum mechanics can be integrated through the number 1.618.
SourceUniversity of the Witwatersrand·JournalSouth African Journal of Science·DateNov 27, 2014
Mathematician Alex Eskin has been selected as a 2014 Simons Investigator to tackle long-term studies of fundamental questions in mathematics. He aims to understand the behavior of billiard balls in various polygons, shedding light on ergodicity and randomness.
Researchers find that a wide range of lock-free algorithms offer performance guarantees comparable to wait-free algorithms, even with complex scheduler variations. This discovery simplifies multicore chip programming, as programmers often program under the assumption of benevolent schedulers.
SourceMassachusetts Institute of Technology·DateMar 24, 2014
Kestrel 3000 Pocket Weather Meter
Kestrel 3000 Pocket Weather Meter measures wind, temperature, and humidity in real time for site assessments, aviation checks, and safety briefings.
A recent study by Renato Gianella found that lottery numbers can be analyzed using a colored template based on Pascal's rule, allowing players to identify combinations with the highest probabilities of winning. The method was tested across multiple countries and demonstrated its effectiveness in predicting lottery results.
SourcePublicase International·JournalREVISTA BRASILEIRA DE BIOMETRIA·DateMar 18, 2014
Physicists observed quantum chaos in ultracold atoms using a controlled environment to study complex systems. The team confirmed the universality of random matrix theory through statistical analysis and computer simulations, revealing new insights into ultracold gases and chemistry.
SourceUniversity of Innsbruck·JournalNature·DateMar 12, 2014
Researchers find fractal distribution of physical characteristics at edge of chaos, deviating from previously reported bell-curve shape. This discovery could improve understanding of chaotic natural phenomena.
SourceSpringer·JournalThe European Physical Journal B·DateFeb 27, 2014
Theorists Volker Koch and Dirk Andrae have devised formulas to calculate the polarizability of atomic ions as a function of their total charge number. This breakthrough enables accurate calculations for series of multi-electron ions, with implications for applications such as semiconductor manufacturing and planetary atmosphere modeling.
SourceSpringer·JournalThe European Physical Journal D·DateJul 17, 2013
DJI Air 3 (RC-N2)
DJI Air 3 (RC-N2) captures 4K mapping passes and environmental surveys with dual cameras, long flight time, and omnidirectional obstacle sensing.
The new institute will offer sabbatical placements to top academics, advancing theoretical basic research and enhancing ETH's academic base. The fellows will work alongside experienced researchers, providing additional stimulation and enrichment.
A mathematician has proven that a formula for mock modular forms, developed by Indian mathematician Srinivasa Ramanujan, can be computed just as he predicted. The discovery may unlock secrets about black holes and has implications for number theory.
Vojtech Rödl and Mathias Schacht have been awarded the 2012 George Pólya Prize for their work on the regularity method for hypergraphs, producing key results such as the generalized hypergraph removal lemma. The prize recognizes their notable contributions to combinatorial theory.
SourceSociety for Industrial and Applied Mathematics·DateAug 14, 2012
Anker Laptop Power Bank 25,000mAh (Triple 100W USB-C)
Anker Laptop Power Bank 25,000mAh (Triple 100W USB-C) keeps Macs, tablets, and meters powered during extended observing runs and remote surveys.
A study published in PLoS ONE suggests that the number-line concept is not an innate human intuition but a culturally acquired tool. The research, conducted with indigenous Yupno adults in Papua New Guinea, found that precise number concepts can exist independently of linear spatial representations.
SourceUniversity of California - San Diego·JournalPLOS ONE·DateApr 25, 2012
A study found that unschooled adults from Papua New Guinea mapped numbers onto space but only used endpoints when placing numbers on a line. In contrast, educated individuals used the entire number line, demonstrating that this understanding can be learned through education and cultural practices.
The American Mathematical Society will award numerous prestigious prizes to recognize outstanding achievements in mathematics. These awards include the AMS Steele Prize, which honors lifetime achievement and mathematical exposition.
A Princeton scientist has recast two well-known math problems as physics questions, providing new tools for solving challenges in data compression, gravitational waves, and more. The reformulation offers insights into the role of randomness and disorder.
SourcePrinceton University·JournalPhysical Review E·DateNov 16, 2010
Sky-Watcher EQ6-R Pro Equatorial Mount
Sky-Watcher EQ6-R Pro Equatorial Mount provides precise tracking capacity for deep-sky imaging rigs during long astrophotography sessions.
The George Pólya Prize recognizes Emmanuel Candès and Terence Tao's work on compressive sensing and matrix completion. Their algorithms enable efficient reconstruction of sparse, high-dimensional data with few measurements.
SourceSociety for Industrial and Applied Mathematics·DateAug 27, 2010
The 2010 International Mathematical Union prizes were awarded to four mathematicians: Elon Lindenstrauss, Ngô Bảo Châu, Stanislav Smirnov, and Cédric Villani. Lindenstrauss received the Fields Medal for his work on measure rigidity in ergodic theory and its applications to number theory.
Ngô Bao Châu received the Fields Medal for his proof of the fundamental lemma in automorphic forms through new algebro-geometric methods. His work has relevance to high-energy physics, computer science, and cryptography, building on decades of mathematicians' contributions.
Research found that certain types of arousal can lead to unhealthy food choices and less-healthy decisions. Arousal interfered with the beneficial effect of positive mood on resistance to temptation, especially in situations requiring mental energy.
SourceUniversity of Chicago Press Journals·JournalJournal of Consumer Research·DateJun 21, 2010
Sony Alpha a7 IV (Body Only)
Sony Alpha a7 IV (Body Only) delivers reliable low-light performance and rugged build for astrophotography, lab documentation, and field expeditions.
A new theory explains why some plants produce large seeds, while others produce small seeds in abundance. Helene Muller-Landau's tolerance-fecundity model reveals that plant species can coexist under different environmental stresses.
SourceUniversity of Minnesota·JournalProceedings of the National Academy of Sciences·DateFeb 18, 2010
Research at Gothenburg University and Oxford University found that middle-aged men prefer younger women in lonely hearts ads. However, this contradicts the idea that men place more emphasis on attractive appearance than resources and social status. In contrast, younger women tend to prefer older men.
SourceSwedish Research Council·JournalEvolutionary Psychology·DateDec 4, 2008
Researchers Daniel J. Madden and Lee W. Jacobi have found an infinite number of solutions to Euler's Equation of degree four, a centuries-old mathematical puzzle. They used elliptic curves to generate new solutions, which are more efficient than previous methods.
SourceUniversity of Arizona·JournalAmerican Mathematical Monthly·DateMar 14, 2008
The intersection of mathematics and cryptography has significant implications for security and research, with mathematicians like Neal Koblitz contributing to the field. Koblitz's work highlights the challenges of 'provable security' in cryptography, as well as the influence of the National Security Agency on research.
SourceAmerican Mathematical Society·JournalNotices of the American Mathematical Society·DateAug 7, 2007
Researchers at Rutgers University have developed a new theory that explains the physical and chemical properties of plutonium, which can help create safer and more versatile nuclear materials. The study finds that valence electrons in solid plutonium metal fluctuate among different orbitals on a short time scale.
Garmin GPSMAP 67i with inReach
Garmin GPSMAP 67i with inReach provides rugged GNSS navigation, satellite messaging, and SOS for backcountry geology and climate field teams.
Researchers at UW-Madison crack long-standing problem of mock theta functions using Harmonic Maass Forms. The discovery is invaluable in resolving open questions in number theory and enables applications to physics, chemistry, and mathematics.
SourceUniversity of Wisconsin-Madison·JournalProceedings of the National Academy of Sciences·DateFeb 27, 2007
The Society for Industrial and Applied Mathematics awarded the George Polya Prize to Gregory F. Lawler, Oded Schramm and Wendelin Werner for their groundbreaking work on stochastic Loewner evolution (SLE). Their research established the existence and conformal invariance of critical scaling limits of several 2D lattice models.
SourceSociety for Industrial and Applied Mathematics·DateJul 18, 2006
As early as 20 years from now, Germany's hours worked per capita may decrease by 8 percent due to the aging population. This shift requires a more flexible and evenly distributed workforce to maintain productivity.
SourceMax-Planck-Gesellschaft·JournalScience·DateJul 5, 2006
Research at Harvard University reveals that preschool children have a basic understanding of number concepts and can perform addition before formal schooling. However, their ability to comprehend symbolic arithmetic is limited, suggesting that teaching methods may need to be revised.
SourceHarvard University·JournalProceedings of the National Academy of Sciences·DateSep 19, 2005
Apple AirPods Pro (2nd Generation, USB-C)
Apple AirPods Pro (2nd Generation, USB-C) provide clear calls and strong noise reduction for interviews, conferences, and noisy field environments.
Burger's work on number theory and mathematics education has earned him numerous awards, including the MAA Deborah and Franklin Tepper Haimo Award. His research focuses on Diophantine approximation and geometry of numbers, and he is also dedicated to making math accessible to everyone.
Researchers identified vulnerabilities in Wi-Fi networks that can drain battery life and disrupt communication infrastructure. A proposed solution involves reputation-based control systems to strengthen routing protocols against stealth attacks.