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New AI-powered tool helps students find creative solutions to complex math proofs

Math students may not blink at calculating probabilities, measuring the area beneath curves or evaluating matrices, yet they often find themselves at sea when first confronted with writing proofs. But a new AI-powered tool called HaLLMos — developed by a team led by Professor Vincent Vatter, Ph.D., in the University of Florida Department of Mathematics — now offers a lifeline. “Some students love proofs, but almost everyone struggles with them. The ones who love them just put in more work,” Vatter said. “It just kind of blows their minds that there’s no single correct answer — that there are many different ways to do this. It’s very different than just doing computational work.” Building the tool HaLLMos was developed by Vatter, as principal investigator, along with Sarah Sword, a mathematics education expert at the Education Development Center; Jay Pantone, an associate professor of mathematical and statistical sciences at Marquette University; and Ryota Matsuura, a professor of mathematics, statistics and computer science at St. Olaf College; with grant support from the National Science Foundation. The tool is freely available at hallmos.com. The team’s goal was to develop an AI tool powered by a large language model that would support student learning rather than short-circuiting it. HaLLMos provides immediate personalized feedback that guides students through the creative struggle that writing proofs requires, without solving the proofs for them. The tool’s name honors the late Paul Halmos, a renowned mathematician who argued that the mathematics field is a creative art, akin to how painters work. Students using HaLLMos can select from classic exercises — such as proving that, for all integers, if the square of the integer is even, the integer is even — or use “sandbox mode” to enter exercises from any course. Faculty can create exercises and share them with students. Vatter introduced HaLLMos to his students last spring in his “Reasoning and Proof in Mathematics” class, a core requirement for math majors that is often the first time students encounter proofs. “They could use this tool to try out their proofs before they brought them to me. We try to identify the error in a student’s proof and let them go fix it,” Vatter said. “It is difficult for faculty to devote enough time to working individually with students. Our goal is that this tool will provide the feedback in real time to students in the way we would do it if we were there with them as they construct a proof.” Helping professors and students excel “I think every math professor would love to give more feedback to students than we are able to,” Vatter said. “That’s one of the things that inspired this.” The next steps for Vatter and his colleagues include getting more pilot sites to use the tool and continuing to improve its responses. “We’d like it to be good at any kind of undergraduate mathematics proofs,” he said. Vatter also intends to explore moving HaLLMos to UF’s HiPerGator, the country's fastest university-owned supercomputer. “It’s our goal to have it remain publicly accessible,” Vatter said. This research was supported by a grant from the National Science Foundation Division of Undergraduate Education.

Boxing Day Explained: From Acts of Charity to a Global Cultural Tradition

Boxing Day may be best known today for shopping deals, leftover turkey sandwiches, and the collective decision to stay in pyjamas as long as possible. But its origins are far richer — rooted in charity, social responsibility, and long-standing cultural tradition. Observed on December 26, Boxing Day has evolved over centuries from a day of giving into a uniquely modern mix of generosity, sport, family, and commerce. Where Boxing Day Began The origins of Boxing Day trace back to medieval Britain. Traditionally, it was the day when: Churches opened alms boxes to distribute donations to the poor Employers gave servants and tradespeople “Christmas boxes” containing money, food, or gifts Workers who served households on Christmas Day were finally given time off to celebrate with their own families At its core, Boxing Day recognized service, labour, and the idea that generosity should extend beyond Christmas Day itself. A Day for Workers, Not Just Celebrations Historically, Boxing Day acknowledged the contributions of workers — from domestic staff to tradespeople — reinforcing values of gratitude, fairness, and shared prosperity. Long before modern labour standards, it created a structured moment for appreciation and rest. How Boxing Day Is Celebrated Around the World Today While its charitable roots remain, Boxing Day traditions vary by region: United Kingdom A public holiday Known for major football matches, horse racing, and community events A blend of tradition, sport, and post-Christmas relaxation Canada A statutory holiday in several provinces Widely associated with retail sales, winter recreation, and family gatherings Increasingly viewed as a day to unwind, travel, or spend time outdoors Australia & New Zealand Celebrated during summer Defined by outdoor events, including cricket and sailing A festive, recreational extension of Christmas rather than a recovery day United States Not an official holiday, but culturally familiar December 26 is widely marked by after-Christmas sales, professional sports viewing, and end-of-year charitable giving Many American traditions - holiday bonuses, tipping service workers, and year-end donations - closely mirror Boxing Day’s original emphasis on gratitude and generosity Beyond the Commonwealth In several European countries, December 26 is observed as St. Stephen’s Day, carrying its own religious and cultural significance From Charity to Commerce: A Modern Shift Over time, Boxing Day became synonymous with retail — driven by post-holiday inventory cycles and consumer demand. While some argue this shift has overshadowed its charitable origins, others see it as an evolution rather than a replacement. Notably, many volunteer initiatives and charitable campaigns continue to peak on or around December 26, reconnecting the day with its philanthropic foundation. Story Angles for Journalists How Boxing Day evolved differently across cultures Why Boxing Day is a holiday in some countries but not others The economic impact of December 26 retail activity Boxing Day and labour history How sport became a defining Boxing Day tradition Why generosity peaks at year’s end Why Boxing Day Still Matters Boxing Day sits between celebration and renewal — a moment to acknowledge service, extend generosity, and reset before the new year. Its global staying power lies in its adaptability, reflecting the values and rhythms of the societies that observe it Find your expert here: www.expertfile.com

UC Irvine’s Daniele Piomelli provides expert view on federal reclassification of cannabis

As the White House moves to reclassify cannabis under federal law from a schedule I to a schedule III, questions remain about how the change could affect medical use, public health, research, and regulation. UC Irvine’s Daniele Piomelli, PhD, an internationally recognized cannabis researcher, is available to comment on the implications of the policy shift. Piomelli is a distinguished professor of anatomy and neurobiology at the University of California, Irvine, the Louise Turner Arnold Chair in the neurosciences, and director of the UCI Center for the Study of Cannabis. Piomelli has more than 30 years of experience studying cannabis, THC and the endocannabinoid system, with research spanning basic neuroscience, pharmacology and translational science. He is editor in chief of Cannabis and Cannabinoid Research and has testified before the U.S. Senate on cannabis-related research and policy. He can provide perspective on: • What federal reclassification may change for medical cannabis and scientific research • Differences between THC, CBD and other cannabinoids • Potential public health benefits and risks of cannabis legalization • Cannabis exposure and the developing brain, including adolescence • Regulatory and research challenges tied to cannabis policy Piomelli is available for interviews or background conversations. Email: piomelli@hs.uci.edu

J.S. Held Releases the Lending Climate in America Survey Results

Global consulting firm J.S. Held reveals the “Lending Climate in America” survey results from Phoenix Management, a part of J.S. Held. The fourth quarter survey results highlight the persisting lender views on policy decisions and their national/global impacts. The “Lending Climate in America” survey is administered quarterly to lenders from various commercial banks, finance companies, and factors across the country. We collect, tabulate, and analyze the results to create a complete evaluation of national attitudes and trends. Phoenix’s Q4 2025 “Lending Climate in America” survey asked lenders which factors could have the strongest potential to impact the economy in the upcoming six months. Forty-six percent of lenders think political uncertainty will have the strongest impact on the economy, while 41% of lenders believe geopolitical risk (war) has the strongest potential to impact the economy. Lenders continue to believe that the possibility of a U.S. recession and upcoming FOMC interest rate decisions will impact the economy. Lenders revealed what actions their customers may take in the next six months. Almost two-thirds of the surveyed lenders believe their customers will raise additional capital, while 30%+ of the surveyed lenders believe their customers will introduce new products and make acquisitions. Forty-three percent of respondents identified the retail trade industry as the most likely to experience volatility in the next six months, followed by the healthcare (social assistance) industry at 38% of respondents. Additionally, Phoenix’s “Lending Climate in America” survey asked lenders if their respective institutions plan to tighten, maintain, or relax their loan structures for various sized loans. For larger loan structures (greater than $25M), the plan to maintain loan structures remained relatively constant from Q3 to Q4, increasing by 9%. As loan sizes decrease, lenders plan to maintain their loan structures. Loans in the range of $15-25M and $5-15M saw very similar structure changes from Q3 to Q4. Loans under $5M had no change in structure. Lender optimism in the U.S. economy decreased for the near term, moving from 2.58 in Q3 2025 to 2.38. In this current quarter, there is heavy expectation of a B level performance (49%), with a majority of the remainder (41%) sitting at a C level. Lender expectations for the U.S. economy’s performance in the longer term also decreased from 2.71 to 2.46. Of the lenders surveyed, 54% believe the U.S. economy will perform at a B level during the next twelve months, virtually no change from the prior quarter. Performance expectations at the D level increased by 5%, matching the increase at a C level. To see the full results of Phoenix’s “Lending Climate in America” Survey, please visit: “Lenders are signaling heightened caution as political uncertainty and geopolitical risks dominate near-term economic concerns,” says Michael Jacoby, Senior Managing Director and Strategic Advisory Practice Lead at J.S. Held. “Confidence in the U.S. economy continues to erode, with short-term grades slipping from a weighted average of 2.58 in Q3 to 2.38 in Q4, and long-term expectations following the same downward trend. While most lenders plan to maintain current loan structures, a notable 21% anticipate tightening terms, even as 77% expect further Fed rate cuts in the coming months. Industry volatility is projected to rise sharply in healthcare, consumer products, and finance, underscoring a challenging environment for borrowers and investors alike.” To learn more about how our experts can add value to your stories in development, simply connect with Michael through his icon below.

Tales of Christmas Past: Preserving Your Family History During the Holidays

During past family Christmas gatherings, many of us remember when older relatives regaled everyone with tales about their fascinating life stories, firsthand experiences as an eyewitness to history or simply sharing how favorite family traditions started. So how do you preserve those precious family memories during the holidays? Baylor University oral historians Stephen Sloan and Adrienne Cain Darough have recorded and preserved the oral history memoirs of thousands of individuals through their work with Baylor’s renowned Institute for Oral History, home of the national Oral History Association. Together, the historians share seven simple best practices to help family members begin oral history conversations that enrich recollections of the past and capture your family memories. “The holiday season brings about the opportunity to spend time with family members, especially those you may not be able to see on a frequent basis,” Cain Darough said. “This presents the perfect opportunity to conduct oral histories to capture the stories and experiences of your family and loved ones, to learn more about them, the history of your family, traditions that have been passed down from generation to generation and more.” Seven best practices for preserving your family’s oral history 1. Ask first! Make sure your family member wants their story to be documented or recorded. That is the first – and most important – question to ask, said Adrienne Cain Darough, M.L.S., assistant director and senior lecturer with the Institute for Oral History. Ask first. “Many oral historians have run into the spot where someone says, ‘Oh, my grandpa would be great for that topic,’ and you get there and it's, ‘Grandpa does not want to talk to you.’ So first, make sure they want their story recorded,” she said. 2. Determine the type of recording equipment you want to use. Decide if you want to record your interview with an audio recorder or use a video recording device. It all depends on your needs and comfort level with the technology. For family members who are unable to travel this holiday season, you can include them by capturing their stories using a remote recording platform like Zoom, which became a vital tool for oral historians when COVID struck in 2020. Helpful resources from Baylor’s Institute for Oral History include: How to choose the right digital recorder Oral History at a Distance webinar on the dynamics of conducting remote oral history interviews Remote Interviewing Resources guide (Oral History Association) 3. Research your family member’s life and their timeline to help you formulate your questions. Recording a family member’s oral history is more than just putting down a recorder in front of them and saying, “Talk.” If you’re recording an oral history over Christmas with a family member, are there specific things that you want to know that are related to the holiday? For example, what was Christmas morning like for them as a child? How did your favorite family traditions start? What is their favorite holiday dish? (Maybe they could even share the recipe. “You can finally learn why Nana’s banana pudding doesn’t even have bananas in it,” Cain Darough said.) “Doing your research to try to form those questions will help you get around the reluctance to talk sometimes,” Cain Darough added. “The favorite thing that I love to hear is, ‘Oh, I don't have much to say,’ or ‘I'm not that important.’ And then you sit down with them, and you listen to their stories, and your mind is just blown by the things that they've seen and experienced.” 4. Start with the basics: “Where are you from?” When Baylor oral historians conduct an interview, they generally begin with some life history of the subject, providing important context for historians. “Ask questions early on that are easy for them to answer: a little bit of the backstory, a little bit of where they're from, where they grew up,” said Stephen Sloan, Ph.D., director of the Institute for Oral History, executive director of Oral History Association and professor of history at Baylor. “I want to understand the lens through which they experienced events, and the only way I can do that is, who was this? What was formative in their life growing up? Who spoke into who they were? What did they learn? Where did they go? What did they do? Those are the sorts of things that I would be exploring early in the interview.” One of the questions Cain Darough enjoys asking is, “What did you want to be when you grew up?” “You want to give them something that's very easy and comfortable to talk about,” Cain Darough said. “What was your favorite subject in school, just to see if that was something that continued on in their life. If there's a certain hobby or something that you know that they're affiliated with, when did you learn about that? Tell me more. What's your interest with this? And then they'll get to talking.” 5. Ask open-ended questions – without making any assumptions. With oral history, it is important that you don’t go into the interview with a specific agenda or try to lead anyone to a certain conclusion. “We can do this very subtly by assuming information, but you can't assume anything about their experience with the topic,’” Sloan said. “If we assume information, it could be very far from how they encountered whatever event that may have been. Allow them to relate the ways in which they lived these experiences.” 6. Listen closely. Listening is an important facet of gathering oral history. But historians say you are not only listening for what they're saying, you're also listening for what they're not saying. “Are there things that are being skipped around?” Cain Darough said. “For example, sometimes when you're talking to veterans about their combat experience, it may be the first time that they're reliving or retelling these stories. They need time, and you just have to be prepared for that.” 7. Be patient. It might take your subject some time to warm up to the conversation. “If you're talking to someone who is 80, 90 or even 100, that's a lot of memories that they have to go through, so patience is important,” Cain Darough said. Looking to know more or arrange an interview? Simply click on Stephen's icon or contact: Shelby Cefaratti-Bertin today to connect with  Adrienne Cain Darough.

A year in the spotlight: University of Delaware’s most notable media mentions of 2025

In 2025, the University of Delaware had many exceptional media mentions. Here are some of the most notable.  Science coverage dominated  Where will the next big hurricane hit? Ask the sharks. (The Washington Post) – Aaron Carlisle, a marine ecologist, was featured for his revolutionary work using sharks to predict major weather events. Scientists could soon lose a key tool for studying Antarctica's melting ice sheets as climate risks grow (NBC News) – Carlos Moffat, an associate professor and oceanographer, spoke about the national budget and how it's impacting climate research.  These Katrina Survivors Feel Overlooked. Now, They’re Using TikTok to Tell Their Stories (Rolling Stone) – Jennifer Trivedi, a disaster researcher, spoke about why Hurricane Katrina was such a major story.  Malala Yousafzai, Migration and Sustainability (Forbes) – Saleem Ali, a professor of energy and environment, contributed regularly to Forbes on environmental topics.  Scientists went hunting for freshwater deep beneath the Atlantic Ocean. What they found could have global implications (CNN) – Holly Michael, a professor of Earth sciences and civil and environmental engineering, spoke about the history of freshwater.  Engineering Professor Answers Electric Car Questions (WIRED) – Willett Kempton, a professor of engineering, joined WIRED to answer the internet's most interesting questions about electric cars. Plastic shopping bag policies are actually working, a new study suggests (CNN) – Kimberly Oremus, associate professor of marine science and policy, was featured in several major outlets on the effectiveness of plastic bag bans.  Insects are dying: here are 25 easy and effective ways you can help protect them (The Guardian) – Douglas Tallamy, an entomologist, was featured in dozens of outlets for his expertise.    Political news coverage was front and center  U.S. Chamber of Commerce sues Trump administration over $100,000 H-1B visa fees (NPR) – Daniel Kinderman, a political science professor, was interviewed for his expertise on a lawsuit involving changes in work visas.  The government shutdown is over, but expect more fights and higher insurance prices to come (Delaware Public Media) – David Redlawsk, a political psychologist, discussed the recent government shutdown and what an end to it signals.  Wrestling Over Charlie Kirk’s Legacy and the Divide in America (The New York Times) – Dannagal Young, a communications professor, commented on how media reacted to the death of Charlie Kirk.  Consequences for colleges whose students carry mountains of debt? Republicans say yes (NPR) – Dominique Baker, associate professor of education, was quoted in multiple national outlets for her education expertise.   General expertise came in clutch  Why the U.S. struggles with passenger service despite having the most rail lines (NPR) – Allan Zarembski, a professor of railroad engineering, was featured in dozens of national publications for his expertise.  From folklore to your front porch: The history of the jack-o'-lantern (NPR) – Cindy Ott, an associate professor of history, detailed the history of this autumn staple in multiple outlets.   Nexstar Media Group buying Tegna in deal worth $6.2 billion (AP) – Danilo Yanich, professor of public policy, noted the ways the media giant duplicates work across networks.  Warren Buffett hired Todd Combs to take over Berkshire's portfolio one day. Here's what close watchers say about his surprise exit. (Business Insider) – Lawrence Cunningham, director of UD's Weinberg Center, was featured throughout the year for his business and economic expertise.  Enlighten Me: How to make your holidays truly happy (Delaware Public Media) – Amit Kumar, a professor of marketing, discussed strategies for finding happiness during the holidays throughout the winter season.  Students and their stories shined throughout the year Networking: Is it what you know or who you know? (The Chronicle of Higher Education) – UD's career-development office, which assists students on their job journeys, was featured.  U of Delaware Creates Yearlong Co-Ops for Business Students (Inside Higher Ed) – A new partnership with the state of Delaware connects business students to local employers, with the goal of reducing brain drain in the region was featured.  Wilmington’s 'STEM Queen' earns national Obama–Chesky honor (The News Journal/Delaware Online) – Jacqueline Means, a management information systems major, was featured for earning a national recognition. Vita Nova Restaurant Gives Culinary Students Hands-on Training (Delaware Today) – The student-staffed restaurant, Vita Nova, was featured.  Delaware professor transforms writing class by teaching students to use AI as the technology reshapes the workforce (WHYY) – Matt Kinservik, a professor of English, was featured for teaching students to use AI responsibly, exploring its capabilities and fact-checking tools. Pop culture experts weighed in 'Stranger Things' expert at UD chats about Netflix show's appeal (The News Journal/Delaware Online) – Siobhan Carroll, an associate English professor, sat down with a reporter to discuss the latest season and how the horror genre is often a mirror of our real world. “Horrendous And Insulting”: Backlash Erupts Over “Misrepresentation” In 2026 Wuthering Heights (Bored Panda) – Thomas Leitch, an English professor, said that “literal adaptations of classic novels are exceedingly rare, maybe impossible.” Major changes at UD highlighted University of Delaware appoints interim president to the permanent post (The Philadelphia Inquirer) – News of UD's new president, Laura A. Carlson, was covered throughout the region. Retiree learning center gets boost with $1M gift for downstate OLLI classes (Spotlight Delaware) – a large donation to the southern Delaware chapter of the Osher Lifelong Learning Institute, was featured. To speak with any of these experts in 2026 on these stories or others, please reach out to MediaRelations@udel.edu. Happy holidays and cheers for a bright and healthy new year! 

Cold Snap Allows Ice Boating to Return to LI

Associate Professor of Geology, Environment, and Sustainability Jase Bernhardt was interviewed by Greater Long Island TV about the tradition of ice boating on Long Island.

New book from Aston University academic shows that Christmas tasks mostly fall on women

New book by Dr Emily Christopher shows differences in how household tasks are divided by men and women Book highlights that women tend to buy the Christmas presents and send cards Men often see women as being more thoughtful or having better knowledge of what people would like. A new book from Aston University’s Dr Emily Christopher reveals that when it comes to sending Christmas cards and buying Christmas presents, women are still mostly doing the work as they are perceived to have better knowledge of what people would like. Dr Emily Christopher, a lecturer in sociology and policy at Aston School of Law and Social Sciences, has recently published her book Couples at Work: Negotiating Paid Employment, Housework and Childcare, which look at how household tasks are divided by men and women and the reasons behind these divisions. The data for the book has been collated over an eight-year period with couples being interviewed twice to provide a robust set of results. It looks at how different sex parent couples combined paid work, housework and childcare. The research revealed how gender norms continue to shape how certain daily household jobs are divided. Women were more likely than men to clean the house, especially bathrooms, wash clothes and put clothes away. Men still tend to do tasks like mowing the lawn and DIY but now are also more likely to do the cooking and the grocery shopping. The research shows that the key to understanding how household tasks are divided lies in the meaning they hold for partners. With the festive season upon us, the book reveals that woman are largely responsible for the Christmas present buying and sending cards with 100% of those taking part in the research saying that women mostly carried out these tasks. This also included buying for the male partner's relatives. In instances where men had a 'helping' role in these tasks, this included being involved in the discussion or consulting on choice of presents, especially for children, with only a small minority buying presents for their own family. The data revealed that where women didn't choose and buy presents for their partners family, they were still involved in reminding their partners that this needed to be done or advising on choice of gifts, showing that women were still taking on the mental load of planning for the festive season. The book reveals that when men were questioned about why they didn't get involved in present buying, they drew on gender norms. Women were often described, by the men, as being more thoughtful or having better knowledge of what people would like. Men often described how family members wouldn’t receive presents at all if it relied on them. Although much of the gift giving and organising represented love and affection for the women, which many found enjoyable, many still saw it as work and expressed that they would like their partners' to be more involved. Dr Christopher said: “This book takes an in-depth look at the way in which everyday roles around the household are divided between men and women. “The research shows that over a period of eight years fathers increased their role in childcare tasks but this did not always extend to housework. “The pandemic was an opportunity to change how couples share housework but women were still more likely to carry out tasks like cleaning, washing clothes and putting clothes away and overwhelmingly remained responsible for the mental orchestration of family work.”